GEDMathPracticeTestLearnerResourceA

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GED Math Practice Test
Learner Resource A
Draft
(NSSAL)
C. David Pilmer
©2015
(Last Updated: June 2015)
This resource is the intellectual property of the Adult Education Division of the Nova Scotia
Department of Labour and Advanced Education.
The following are permitted to use and reproduce this resource for classroom purposes.
 NS CLO instructors delivering GED Math curriculum within the Nova Scotia Adult
Learning Program
 Canadian public school teachers delivering public school curriculum
 Canadian nonprofit tuition-free adult basic education programs
The following are not permitted to use or reproduce this resource without the written
authorization of the Adult Education Division of the Nova Scotia Department of Labour and
Advanced Education.
 Upgrading programs at post-secondary institutions
 Core programs at post-secondary institutions
 Public or private schools outside of Canada
 Basic adult education programs outside of Canada
Individuals, not including teachers or instructors, are permitted to use this resource for their own
learning. They are not permitted to make multiple copies of the resource for distribution. Nor
are they permitted to use this resource under the direction of a teacher or instructor at an
unauthorized learning institution.
Acknowledgments
The Adult Education Division would like to thank the following ALP instructors for piloting this
resource and offering suggestions during its development.
Patrick Carruthers (EHCL)
Andre Davey (Metroworks)
Shannon Davis (YCLN)
Marcia Franklin (DLN)
Florence MacEachern (ACALA)
Sheri MacNeil (DALA)
Dale Taylor (Metroworks)
Phil van den Hevvel (DLN)
Table of Contents
Introduction for Instructors …………………………………………………………………..
ii
Word Problems: Whole Numbers and Money ………………………….……………………
Proportional Reasoning ………………………………………………………………………
Statistics and Probability …………………………………………………………..…………
Measurement …………………………………………………………………………….…...
Graphs and Functions …………………………………………………………………………
Algebra ……………………………………………………………..………...……………....
Geometry and Trigonometry …………………………………………………………….…...
1
11
18
25
31
38
42
Answers ………………………………………………………………………………………
45
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Introduction for Instructors
This learner resource, which is an adaption of the GED Math Customized Practice Resource, is
designed so that learners can experience a variety of “true” GED math practice test questions
(i.e. multi-step, multi-concept problem solving questions). The original GED Math customized
resource, which comes in a MS Word version, allows instructors to create a variety of
customized GED practice tests. The only limitation with this resource is that instructors need to
devote some of their preparation time to create these customized tests. One of the course
development team members (Andre Davey from Metroworks) suggested that we take the
customized practice instructor resource and break it into three student resources (i.e. GED Math
Practice Test Learner Resource A, B, and C). So that is what we did.
A learner receives the complete resource and is either assigned all the questions in the booklet or
specific questions; this is at the discretion of the instructor. These three resources, like the GED
Math Prep Plus resource and its accompanying videos, should be given to the learners in the last
six to seven weeks of their 16-week GED Math Prep course. We recommend this practice
because almost all questions are multi-step and multi-concept questions.
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Word Problems: Whole Numbers and Money
1A
You are given the following statement.
Lana has 4 keys on her key chain, and Ajay has 20 keys on his key chain.
Which one of the four following responses is incorrect based on the information provided in the statement
above?
(a) Ajay has 16 more keys than Lana
(b) Lana has one-fourth the number of keys as compared to Ajay.
(c) Ajay has 5 times as many keys as Lana
(d) Lana and Ajay have a total of 24 keys.
2A
Two brothers, Bashir and Kadeer, started a three month exercise program. The brothers devoted 2 hours a
day to this program, 7 days a week. Bashir originally weighed 205 pounds but dropped 10 pounds over the
three month period such that his new weight was 195 pounds. Kadeer lost 8 pounds over that same period,
going from 195 pounds to 187 pounds. How much weight did Bashir lose during this exercise program?
(a) 10
(b) 7
(c) 8
(d) 2
3A
You are given the following statement.
Dan is 52 years old. Genevieve is 48 years old. Based on this, we can say that Dan is 4 years older
than Genevieve.
Which one of the following statements is an incorrect reworking of the statement above?
(a) Genevieve, who is 48 years old, is younger than Dan, who is 52 years old, by 4 years.
(b) There is a 4 year difference between Genevieve and Dan's ages. If Genevieve is younger and 48 years
old, then Dan must be 52 years old.
(c) If Genevieve was born 4 years after Dan and she is 48 years old, then Dan must be 52 years old.
(d) Dan is younger than Genevieve by 4 years. If he is 52 years old, then Genevieve is 48 years old.
4A
To the right you have been given four numbers. Three of those four numbers can
be filled into the statement below such that the statement makes sense.
Ryan, who prefers running, ran for _____ minutes and biked for _____
minutes. That means he trained for a total of _____ minutes.
In what order should three of those four amounts be inserted into the statement?
(a) 40, 30, 70
(b) 30, 40, 70
(c) 30, 20, 40
(d) 20, 30, 70
5A
Identify the only statement that makes total sense.
(a) At the age of 10 years, a particular boy is 5 feet tall. That means that at 20 years, he should be 10 feet
tall?
(b) Roommates, who are renting a small apartment, agree to buy a $600 flat screen television (after taxes)
and share the cost equally. That means that each of the 60 roommates must pay $10.
(c) Rajani ran 6 kilometres per day over 7 days. In that period of time she ran a total of 42 kilometres.
(d) Kendrick is 31 years old, and Marcus is 37 years old. That means that Marcus is 6 years younger than
Kendrick.
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40
70
20
30
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6A
The expression 5  7 is
(a) equal to 12
(b) between 8 and 9
(c) between 4 and 5
(d) between 9 and 10
7A
Find the value of the following expression:
(a) 19
(b) 15
(c) 29
(d) 21
8A
The local elementary school has 600 students, and the local middle school has 300 students. Combined the
two schools have 30 teachers. How many more students are at the elementary school compared to the
middle school?
2
2
2  3  5  3  25
2
3
__________
9A
Lisa used a 200 ml container to fill a larger container. She used the 200 ml container six times, but on the
last pour she could only add 150 ml of the 200 ml. How many millilitres can the larger container hold?
__________
10A
Two towns looked at the new construction that occurred in their areas over the last year. During that time
apartments, singled detached houses (i.e. single family homes), semi-detached houses (i.e. duplexes), and
row houses were built. The number of each type of building for the two towns is shown in the circle graphs
below.
Town A
Town B
Look at the total number of single detached and semi-detached homes built in each of these towns. How
many more of these houses were built in Town A compared to Town B?
__________
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11A
Angela works from 9 a.m. until 5 p.m. (with a paid lunch break). If she makes $10 per hour, how much
will she make, before deductions, in a 5-day work week?
(a) $350
(b) $375
(c) $400
(d) $450
12A
You need to purchase 12 cubic yards of topsoil. The company supplying the soil charges $20 per cubic
yard of soil plus a trucking fee of $55. Before taxes, how much will it cost to purchase and have the soil
dropped off at your property?
(a) $295
(b) $345
(c) $680
(d) $900
13A
Four roommates decide to share the following monthly expenses equally: rent - $945, electric - $130, and
water - $45. Which expression below represents how much each roommate had to contribute to the
monthly expenses?
(a) 4  945  130  45
(b)
(c)
(d)
14A
945
 130  45
4
945  130  45
4
4
945  130  45
Tyrus goes to a fast food restaurant. His bill before taxes is $12.70. The tax on the meal is $1.91. If Tyrus
pays with a $10 and $5 bill, which one of these expressions represents the change he will receive?
(a) 10  5  12.70  1.91
(b)
12.70  1.91
10  5
(c) 12.70  1.91  10  5
(d)
15A
Sasha wishes to join the local gym, and has two payment options from which to choose. The first option
allows her to make monthly payments of $90. The other option is a one-year membership where she makes
two payments of $480 – one at the beginning of the year, and the other six months later. Assuming that
Sasha is going to use the gym for one year, which expression represents her savings using the second
payment option compared to the first payment option?
480 90

(a)
2
12
480  90
(b)
12  2
(c) 12  480   2  90 
(d)
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12.70  1.91  10  5
12  90   2  480
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16A
To the right, you have an input output table. You input one number and
another number is generated (i.e. the output number). Which of the four
rules listed below describes the relationship between the input and output
number in this case?
(a) output  2  input +5
Input
9
4
6
Output
23
8
14
(b) output  2  input +2
(c) output  4  input  10
(d) output  3  input  4
17A
Donna is a waitress at a local restaurant, where on average she serves 8 tables per hour. She earns $11 each
hour and keeps all her tips, which average $5.00 per table. How much money could Donna expect to earn
between 11:00 a.m. and 2:00 p.m.?
$__________
18A
A local restaurant needs flyers to advertise its business. A printing company gives the following costs.
Basic set-up charge
First 300 flyers
Extra flyers above the 300
Cost
$25
$12 per 100 flyers
$8 per 100 flyers
If the restaurant needs 500 flyers, what is the cost?

$_________
19A
Both Sandra and Monique work from 9 a.m. until 5 p.m. (with a paid lunch) at the same retail store.
Sandra makes $13 per hour and Monique makes $11 per hour. How much more does Sandra make
compared to Monique in five days of work?

$__________
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20A
The table below shows the pay rates of three employees. The employees are paid the regular rate for the
number of hours up to 40 and are paid the overtime rate for the number of extra hours they work over 40.
There is also a bar graph showing the number of hours worked by each employee in a specific week.
Employee
regular
overtime
Kennedy
$12/hour
$18/hour
Chopra
$14/hour
$21/hour
Theriault
$20/hour
$30/hour
Kennedy
Chopra
Theriault
38
39
40
41
42
43
44
45
46
47
48
49
50
51
hours w orked
How much more did Theriault earn than Kennedy in this specific week?

$_________
21A
The average precipitation for three Canadian cities over three months is shown in the table below.
St. John’s
Newfoundland
Charlottetown
P.E.I.
Toronto
Ontario
June
89 mm
83 mm
63 mm
July
83 mm
73 mm
81 mm
August
113 mm
93 mm
67 mm
What is the difference in the combined average precipitation between St John’s and Toronto for the months
of July and August?

__________ mm
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22A
The daytime high temperatures in Celsius for three cities over five days are shown in the graph below.
(a) How much warmer in terms of the daytime high is it in City C on day 2 compared to City A on day 5?
__________ oC
(b) What is the median temperature for City B during this five day interval?
__________ oC
23A
There are three candidates for mayor in a municipal election. The following chart shows the election
results for all four polling stations, but it is missing one number.
Candice
Spencer
Manish Shah
Stuart
Knockwood
Spoiled
Ballots
Candidates
Polling Station 1
53
47
39
3
Polling Station 2
28
42
32
4
Polling Station 3
?
39
49
2
Polling Station 4
41
24
29
3
If 470 citizens cast votes in the municipal election and they are each only permitted to vote for one
candidate, which of the candidates won the election?
(a) Candice Spencer
(b) Manish Shah
(c) Stuart Knockwood
(d) Not enough information is supplied.
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24A
Nashi is ordering three T-shirts for $14.95 each (before taxes) and one blouse for $32.95 (before taxes)
from a catalog. The shipping charges (before taxes) are listed in the table below.
Price Range for Total
Order
$0.01 to $20
$20.01 to $40
$40.01 to $70
$70.01 to $110
Over $110
Standard Shipping
(7 to 10 business days)
$5.95
$7.95
$10.95
$13.95
$16.95
Priority Shipping
(3 to 5 business days)
$9.95
$12.95
$16.95
$21.95
$25.95
Same Day Shipping
(next business day)
$15.95
$20.95
$26.95
$32.95
$38.95
What is the total cost of Nashi’s purchase (before taxes) if she uses Priority shipping?

$__________
25A
The following chart shows how Dave has been slowly raising the price over the last four years of the three
identical apartments that he rents out in his triplex.
Year
Rental Price of
Each Apartment
2011
$825 per month
2012
$835 per month
2013
$859 per month
2014
$879 per month
2015
$895 per month
How much more money per year does he bring in for renting the three apartments in 2015 compared to
2013?

$__________
26A
At Mike’s Bike Shop, 30 fewer bikes were sold in April than in May. The total number of bikes sold in
April and May at the shop is less than the 115 bikes sold in June. What is the maximum number of bikes
that could have been sold in April?
__________ bikes
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27A
The local home décor store can make customized window blinds. The following chart shows the different
options and prices.
Width of Blinds
Type
24 inches to 35 inches
Vinyl Blinds
Aluminum Blinds
Wood Blinds
Vinyl Blinds
Aluminum Blinds
Wood Blinds
Vinyl Blinds
Aluminum Blinds
Wood Blinds
36 inches to 47 inches
48 inches to 59 inches
Price per Item
Price per Item when 2
or more of the same
item are purchased
$39.95
$44.95
$49.95
$59.95
$64.95
$69.95
$79.95
$84.95
$89.95
$49.95
$54.95
$59.95
$69.95
$74.95
$79.95
$89.95
$94.95
$99.95
How much would you pay (before taxes) for three 30 inch wood blinds and one 48 inch vinyl blind?

$__________
28A
Tylena owns a bakery where she has one full-time employee and two part-time employees. Her weekly
payroll is shown in the table below.
Employment
Status
Full-time
Part-time
Part-time
Employee
Kiana
Colin
Kadeer
Hours per Week
Hourly Wage
40
24
16
$14.35
$12.15
$11.75
If she increases the full-time employee’s hourly wage by 40 cents and each of the part-time employee’s
hourly wage by 25 cents, how much will her weekly payroll increase?

$__________
29A
3
2
Order 2.5  10 , 1.09  10 , 458, 9  10 , 6752, 3.456  10 from smallest to largest.
4
2
_____________, _____________, _____________, _____________, _____________, _____________
30A
The numbers in the following sequence are increasing by the same amount each time. Determine the next
number in the sequence. Express the number on scientific notation.
9.2  10 , 9.4  10 , 9.6  10 , 9.8  10 ,…
2
2
2
2
____________________
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Proportional Reasoning
1A
By mass, for every one part of an iceberg exposed above the water line, there are seven parts of the iceberg
hidden below the water line. If you attempting to find the mass of the exposed portion of an iceberg that
totaled 46 tonnes, which one of these expressions would you use?
(a)
(c)
2A
1
x

7 46
1 46

7
x
1
x

8 46
7 46
(d)

8
x
(b)
The local fitness store had a sale on running shoes. They advertised the following.
Running Shoe Sale!
Buy one pair – get the second (of equal or
lesser value) for half price.
If you wish to buy two pairs of shoes regularly priced at $49.95 and $34.95, how much in total will you pay
during the sale (before taxes)?

$__________
3A
A local hospital examined the types of injuries or
accidents that appeared in their emergency room.
They created the circle graph shown on the right
based on their findings.
(a) What is the ratio of work injuries to respiratory
problems in lowest terms?
(i) 7:4
(ii) 4:7
(iii) 33:100
(iv) 100:33
(b) If 2400 emergency room visits were examined to
create the circle graph, how many more visits
were there for automobile accidents compared to
home injuries?
__________ visits
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4A
A public library looked at the 7200 books in their collection
and classified the books into five categories. The results of
this classification process are reported in the circle graph
shown on the right.
If the library purchased an additional 800 fiction books,
what percentage of the library’s total collection would now
be fiction books?

__________
5A
A basketball player had the following statistics during a five game tournament.
Game
1
2
3
4
5
Free Throw
Attempts
8
11
14
7
10
Free Throws
Made
5
8
10
6
7
Over the five game tournament, what percentage of this player’s free throw attempts were not made?

__________
6A
John works five 8-hour days each week. For part of his job, he repairs gasoline powered lawnmowers.
Over one workweek, he records how much time he spends each day on such repairs. The information is
recorded in the chart below.
Monday
1 hr 45 min
Tuesday
2 hr 30 min
Wednesday
2 hr 15 min
Thursday
3 hr
Friday
1 hr 30 min
What fraction of this workweek was spent on gasoline powered lawnmower repairs?
1
11
(a)
(b)
4
40
9.2
3
(c)
(d)
40
10
7A
Colin is going on a four day road trip. On the first day of the trip, Colin travelled 650 kilometres. On the
second day, he travelled 780 kilometres. If the distance travelled over these two days represented 40% of
the total distance covered on the road trip, what was the total distance he travelled over the four days?

___________ kilometres
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8A
Richard originally bought a rectangular lot measuring 0.7 km by 0.5 km. Over the next few years he
bought up the surrounding lots until he had one large rectangular lot measuring 2.1 km by 1.5 km. From
the original small lot to the large lot, what is the percentage increase in the area?

__________%
9A
Order the numbers
(a)
(c)
4
3
1
8
10A
,
,
2
5
2
5
,
,
1
8
4
,
,
3
7
,
2
,
10 5
7 11
,
10 12
7 11
,
10 12
Order the numbers 75%,
4
3
,
11
, and
12
1
from smallest to largest.
8
(b)
Order the numbers 90%,
,
7
,
2
,
4
,
11
8 10 5 3 12
1 2 7 11 4
(d)
, ,
,
,
8 5 10 12 3
9
, 40%,
11
, 1.1, and 0.05 from smallest to largest.
16
12
9 11
(a) 40%, 0.05, 75%,
,
, 1.1
16 12
9
11
(c) 0.05,
, 40%,
, 75%, 1.1
16
12
11A
1
3
5
, -1.2, 
1
10
9
(b) 0.05, 40%,
(d) 0.05,
9
16
, 
7
,
16
11
, 75%,
11
, 1.1
12
, 1.1, 40%, 75%
12
, and 8% from smallest to largest.
8
________, ________, ________, ________, ________, ________
12A
Sonja’s first geography test score was 85%. On her second test, her mark dropped by 15%. If there were
80 questions on the second test that were all of the same value, how many of those did she get correct?
(a) 60
(b) 49
(c) 56
(d) 52
13A
A hotel is built on a rectangular lot measuring 80 metres by 60 metres. Half of the lot is used for the hotel
structure, which includes the gym and indoor pool facilities. If the pool facilities represents 15% of the
structure, what is area of the pool facilities?

__________ m2
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14A
The gross and take home pays of three employees are provided below.
Brian
Maurita
Kimi
Gross Pay
$1280
$1440
$1120
Take Home Pay
$921.60
$1022.40
$828.80
The deductions are what percentage of Kimi’s gross pay?

__________%
15A
Hinto and his boss Sarah are house painters. For every $2 that Hinto makes, Sarah makes $3. If they make
$3560 for painting a house, how much does Sarah make on this job?

$__________
16A
A liquidation store has 20 designer winter jackets. They normally sell each winter jacket for $150. To get
rid of this stock before spring arrives, they take 10% off the current price each week until all are sold. If
25% of the stock sells in week one of the sale and 75% sells in week two, how much money in total did the
store bring in on the sale of these winter jackets?

$__________
17A
A new hardware store is
opening and they need to hire
staff for the 40 different job
openings. They classified the
job openings into 5 categories
and looked at the number of
openings in each category and
the number of applications they
received for those openings.
All of this information is
captured in the graph to the
right.
(a) Which category of job had
a ratio of 7 applicants for
every 3 openings?
_____________________________
(b) Which category of job had 3.5 times more applications than applications for the accounting positions?
_____________________________
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18A
7
of a company’s employees take advantage of the optional life insurance policy. What
20
percentage of the employees do not participate in this option?
Each year, about
__________%
19A
A particular store marks up all its products by 30% after they are purchased from a supplier. If the store is
selling a product $58.95, how much did the store pay for the product from the supplier?

$__________
20A
A store buys T-shirts from its suppliers for $7.80 each. The store sells those same shirts for $10.95 to its
customers. What percentage of the selling price is profit?

__________%
21A
Margo paid $8.24 in sales tax on a purchase. If she paid 15% sales tax, what was the selling of the item
(i.e. price before taxes)?

$__________
22A
A company, that sells electrical supplies, looked at the items purchased by a particular electrical contractor,
L. Theriault Electric, during the month of May. The information is found in the table below.
Item #
34152
34078
28345
32583
Purchases by L. Theriault Electric in May
Description
Switch, DPDT 240v 100a
Switch, DPDT 240v 50a
Circuit Breaker, SP 120v 30a
Switch, SPDT 240v 100a
28361
Circuit Breaker, DP 120v, 15a
Quantity
30
24
48
60
72
The combined sales of items 34078 and 28361 to L. Theriault Electric equal what percentage of the total
items sold to this contractor?

__________%
23A
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What fraction, decimal and percent are represented by the shaded portion
of the trapezoid?
1
2
(a)
, 0.5, 50%
(b)
, 0.4, 40%
2
5
1
1
1
(c)
, 0.3 , 33 %
(d)
, 0.2, 20%
3
2
3
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24A
Of all the items produced at the factory on Wednesday,
9
of them passed inspection. If 2070 passed
10
inspection, how many were produced that day?

__________ items
25A
A box, which is a rectangular-based prism, has a length of 30 cm. It has a width that
is two-thirds of the length. The height of box is five-sixths of the length. What is the
volume of the box?

__________ cm3
26A
A positive number less than or equal to
1
is represented by x. Four expressions involving x are provided
2
below.
1
x 1
5
2
x
2
x
x
Which one of the following series lists the expressions from smallest to largest?
5 1
2
(a)
, , x 1, x
2
x
x
1 5
2
(b)
,
, x 1, x
x x2
5 1
2
(c) x  1 , x ,
,
2
x
x
1 5
2
(d) x , x  1 , ,
x x2
27A
If half the class are girls, and 20% of the girls speak French, what fraction of the class are French-speaking
girls?
____________
28A
If x 
2
9
, then determine x3 and express it as a mixed number.
4
__________
29A
Lise works 6 hours per day on Monday, Tuesday, and Thursday and 7.5 hours per day on Wednesday and
Friday. She does not work on Saturday and Sunday. If she earns $387.75 per week, what is her average
earning rate in dollars per hour?

$__________ per hour
NSSAL
©2015
16
Draft
C. D. Pilmer
30A
A hole with a diameter of
5
inches is being drilled into the center of a rectangular steel
8
plate that measures 2
3
inches by 1
3
inches. What is the closest distance between the
8
4
edge of the hole and the edge of the steel plate?
__________ inches
31A
Determine the missing measure.
_________ inches
?
32A
Four squares having side lengths of 1
3
inches are cut from the corners of a
8
rectangular sheet of metal measuring 9 inches by 7 inches. After the four
squares are removed, the sheet metal can be folded to create a box that is open
on the top. What are the dimensions of the box?
__________ inches by _________ inches by _________ inches
NSSAL
©2015
17
Draft
C. D. Pilmer
Statistics and Probability
1A
Jacob ran the 100 metre dash in different competitions in 2013 and 2014. His times for each race are
shown in the chart below. All times are measured in seconds.
2013
2014
11.85
12.04
12.32
11.78
11.97
11.45
12.06
12.01
What is the difference in his mean times between 2013 and 2014?

__________ seconds
2A
For one week in January, Praveen recorded the daytime temperature lows. However, he forgot to record
Wednesday’s daytime low.
Sun
-4 oC
Mon
-8 oC
Tues
-3 oC
Wed
?
Thurs
1 oC
Fri
-4 oC
Sat
-11 oC
If he is knows that the average daytime temperature low for that week is -5oC, then what was the
temperature low for the day he missed?

__________oC
3A
You are told that a golfer’s scores for six rounds of golf have been listed from lowest to highest. However,
the lowest and highest scores are not provided.
?
76
82
88
93
?
Which one of these statements is correct?
(a) The mean of the golfer’s score for six rounds of golf can be determined with the information that was
provided above.
(b) The mode of the golfer’s score for six rounds of golf can be determined with the information that was
provided above.
(c) The median of the golfer’s score for six rounds of golf can be determined with the information that was
provided above.
(d) The mean, median, and mode of the golfer’s score for six rounds of golf cannot be determined with the
information that was provided above.
4A
Sapphire started a new job in the sales division of a company. The company tracked her daily sales over
the first four weeks and recorded the information in the table below.
Workweek 1
Workweek 2
Workweek 3
Workweek 4
Mon
$263
$486
$649
$869
Tues
$386
$515
$809
$1167
Wed
$345
$624
$1025
$1384
Thurs
$437
$745
$1181
$1538
Fri
$529
$890
$1096
$1342
What is the difference in her mean sales on workweek one compared to her mean sales on workweek
four?

$___________
NSSAL
©2015
18
Draft
C. D. Pilmer
5A
How many different three-digit numbers can you make if the hundreds digit is a 1 or 2, and the ones digit is
odd?
(a) 100
(b) 90
(c) 60
(d) 10
6A
A bag contains 5 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of randomly
pulling a green marble followed by a red marble from the bag if you do not return the first marble to the
bag after the first pull?
31
28
(a)
(b)
36
33
5
5
(c)
(d)
36
33
7A
Three adults exercised each day over the last 10 days. The number of minutes that each exercised each day
can be found in the table below.
Nasrin
40
50
55
30
25
25
35
60
70
65
Michael
30
20
20
40
60
70
75
55
45
90
Rana
30
40
50
40
45
60
90
90
75
65
What is median number of minutes that Rana exercised over this 10 day period?
___________ minutes
8A
The bar graph shows the
snowfall for five Nova Scotian
communities over three days.
(a) What is the mean snowfall
for these five communities
on Friday?

__________ centimetres
(b) What is the snowfall
range for these five
communities on
Wednesday?

__________ centimetres
NSSAL
©2015
19
Draft
C. D. Pilmer
9A
Six adults are asked to read the same article in a magazine. The mean reading time for the article is 182
seconds. If four of the adults have reading times of 146, 168, 185, and 213 seconds, which one of these

statements describes the reading times of the other two adults?
(a) The two adults each have a reading time of 190 seconds.
(b) One of the adults has a reading time of 178 seconds and the other has a reading time of 202 seconds.
(c) The combined reading time of the two adults is 380 seconds.
(d) None of the above statements is correct.
10A
A telecommunications company conducted a survey in the area that they serve. They asked people of
different ages if they use a computer and/or use a smartphone outside of the work or school environment.
The graph below describes the results the company obtained.
(a) Which one of these conclusions can be made based on the information found in this graph?
(i) In the near future, there is a strong likelihood that smartphone use will be greater than computer
use?
(ii) During the time of the survey, the percentage of computer usage is higher than the percentage of
smartphone usage within each of the five age ranges captured in the survey.
(iii) People older than 65 years of age use smartphones the least.
(iv) Computer usage is higher than smartphone usage because computers are generally an easier type
of technology to master.
(b) If 300 people between the ages of 45 and 54 were interviewed for the survey, how many responded
that they use a smartphone outside of the work or school environment?
__________ people
(c) If the 2000 people were interviewed for the survey, how many more 25 to 34 year olds than 35 to 44
year olds use a computer outside of the work or school environment?
(i) 4 people
(ii) 80 people
(iii) 180 people
(iv) Cannot be determined; not enough information is provided.
NSSAL
©2015
20
Draft
C. D. Pilmer
11A
The graph below shows the low and high temperatures for five Nova Scotian communities on March 25,
2015.
What was the greatest range in temperatures experienced by one of these five communities on this date?
__________oC
12A
Final numerical and letter grades for a math class are supplied in the card below.
Student
Marcus A.
Tiva C.
Jun F.
Catherine G.
Rana J.
Scott M.
Sapphire R.
Charu T.
Final Numerical
Grade
84%
98%
75%
71%
88%
67%
91%
78%
Final Letter
Grade
AA+
B
BA
C+
A+
B+
What is the difference between Catherine G’s numerical grade and the median numerical grade for this
class?
__________%
NSSAL
©2015
21
Draft
C. D. Pilmer
13A
In a phone survey, 35 participants were asked to indicate how many cats and dogs they presently own. The
results are shown in the table below.
Number of Cats
Tally
Number of Dogs
0
0
1
1
2
2
3
3
4 or more
4 or more
Tally
What is the mode of the data set concerned with dog ownership?
__________
14A
A bag contains 20 marbles. They come in three different colors: blue, red and yellow.
 The probability of drawing a blue marble on a single draw is 0.30.
 The probability of drawing a red marble on a single draw is 0.45.
How many of each marble are there?
__________ blue marbles
15A
__________ red marbles
__________ yellow marbles
A survey asked 300 people which of the three primary colors, red, yellow or blue, was their favorite. Blue
2
5
was selected by
of the people, red was selected by
of the people, and the remainder selected yellow.
5
12
How many of the 300 selected yellow?

__________ people
16A
If x is chosen at random from the set {2, 3, 4} and y is chosen at random from the set {6, 7, 8}, what is the
probability, rounded to the nearest hundredth, that x  y is divisible by 3?
(a) 0.60
(b) 0.67
(c) 0.56
(d) 0.44
17A
A number is randomly chosen from first 5 positive integers. What is the probability that the number is less
than the mean?
__________
18A
The mean of 100 observations was calculated as 36 but it turned out that one of the observations was
misread as 83 but in reality it was 53. What will be the correct mean?
__________
NSSAL
©2015
22
Draft
C. D. Pilmer
19A
The number of part-time and full-time staff at a particular company changed significantly between 2007
and 2012.
(a) Which one of these statement best describes these changes?
(i) During this time, both the part-time and full-time staff numbers increased resulting in an increase
in the total number of employees from year to year.
(ii) During this time, the number of full-time employees initially increased then decreased, but the
steady increase in the number of part-time employees resulted in an increase in the total number
of employees from year to year.
(iii) During this time, the number of part-time employees initially increased then decreased. There
was a steady increase in the number of full-time employees, yet the total number of employees
decreased from year to year.
(iv) During this time, both the number of full-time and part-time employees initially increased then
decreased. This resulted in a gradual increase in the total number of employees from year to
year.
(b) What is the ratio of part-time staff to full-time staff in 2008?
(i) 1 : 2
(ii) 2 : 1
(iii) 1 : 3
(iv) 3 : 1
(c) What is the approximate percentage increase in the number of full-time staff between 2009 and 2010?
(i) 30%
(ii) 52%
(iii) 8%
(iv) 17%
20A
NSSAL
©2015
A bag contains 30 ping pong balls numbered 1 through 30. If a ball is chosen at random from the bag, what
is the probability of not drawing an odd numbered ping pong ball that is greater than or equal to 21?
21
13
(a)
(b)
30
15
5
1
(c)
(d)
6
6
23
Draft
C. D. Pilmer
21A
Two towns conducted two surveys regarding methods of transportation their citizens use to get to work.
Town A surveyed 1200 people and generated the first circle graph. Town B surveyed 800 people and
generated the second circle graph.
Town A: 1200 people surveyed
Town B: 800 people surveyed
(a) What is the ratio of the number of people in Town A who drive to work to the number of people in
Town B who drive to work?
(i)
211
148
(ii)

40
(iii)
37
60
(iv)
37
3
2
(b) Two circle graphs were used to display the findings of these two surveys. Which of the following
graphical representations cannot be used to display these same findings?
(i) Two separate bar graphs
(ii) A double bar graph
(iii) A line graph
(iv) Both (i) and (ii)
(c) A third town, Town C, has very similar statistics as Town B except 2% fewer people drive their own
vehicle to work and 2% more walk to work. If 900 people were interviewed for Town C’s survey, how
many stated that they drive their own vehicle to work?

__________ people
NSSAL
©2015
24
Draft
C. D. Pilmer
Measurement
1A
A wheel with a radius of 15 centimetres is rolled along the ground so that it completes 6 revolutions. How
far does the wheel travel?
(a) 90 cm
(b) 5 cm
(c) 180 cm
(d) 1350 cm
2A
As shown on the right, three identical circles are surrounded
snuggly by a rectangle. Which expression describes the area of
the resulting shaded area?
(a) 16r  6 r
(b) 16r  9 r
2
(c) 3r  3 r
2
3A
2
2
(d) 12r  3 r
2
r
2
A grain silo, which is comprised of half a sphere and a cylinder, is shown
on the right. If a can of paint covers 10 m2, how many cans of paint are
needed to cover the outside of the silo?
4m

__________ cans
18 m
4A
A square-based pyramid has a volume of 720 cm3. If the height of the pyramid is 15 cm, what is the length
of each side of the base?

__________ cm
5A
Harold is wrapping a rectangular box with wrapping paper. The box measures 50 cm by 40 cm by 30 cm.
How much wrapping paper will he need if he also needs 20% more for folding and taping purposes?
(a) 9400 cm2
(b) 60 000 cm2
2
(c) 72 000 cm
(d) 11 280 cm2
NSSAL
©2015
25

Draft
C. D. Pilmer
6A
Three identical circles fit snuggly into a larger circle in the manner
shown on the right. The dotted line passes through the center of all four
circles. What is the ratio of the shaded region to non-shaded region?
2
(a)
1
3
(b)
1
7
(c)
2
5
(d)
2
7A
The two figures on the right have the same
area. The first figure is a rectangle and the
second figure is a right triangle. Find the
missing sides of the triangle.

x
y
40 cm
x = __________ cm
y = __________ cm
32 cm
12 cm
8A
The distances around the outside of these two figures, the
circle and rectangle, are the same. If so, find the missing
dimension of the rectangle.
10.5 cm

4.3 cm
x
x = __________ cm
9A
You are going to use the small cylinder to
transfer water to the large cylinder. If you can
fill the small cylinder to 90% of its capacity, how
many times will transfer water from the small
cylinder to the large cylinder to completely fill
the large cylinder?
30 cm
12 cm

34 cm
20 cm
__________ times
NSSAL
©2015
26
Draft
C. D. Pilmer
10A
Four identical balls fit snuggly in a cylindrical can. The diameter of each
ball is 7 cm. What is the volume of the cylindrical can?

__________ cm3
7 cm
11A
A spherical balloon is being blown up. At one point, its diameter is 30 cm. A few seconds later, its
diameter is 42 cm. What is the percent increase in the volume of the spherical balloon during this time
span?

__________%
12A
The dome being designed for the top of a new building is half a sphere. The dome was
originally designed to have a radius of 25 metres, but the architect later decided to
increase that radius by 20%. What is the ratio of the surface area of the new dome to
the surface area of the original dome?
(a)
(c)
6
5

(b)
32
(d)
25
13A
25
4
5
A sector is a pie-shaped portion of a circle. Determine the area of the sector
(the shaded region) on the right.

3.7 cm
__________cm2
14A
36
120o
Jim leaves the house at 10:45 a.m. and drives at an average speed of 80 km/h. How far has he travelled by
2:30 p.m?

___________kilometres
NSSAL
©2015
27
Draft
C. D. Pilmer
15A
Three friends participated in a two day bicycle race where they travelled 70 kilometres on the first day and
made the return trip of 70 kilometres on the second day. Their times for each day are provided in the chart
below.
First Day
2 hr 27 min
2 hr 22 min
2 hr 31 min
Sarah
Marc
Nashi
Second Day
2 hr 23 min
2 hr 18 min
2 hr 29 min
What was Marc’s average speed over the two day bicycle race in kilometres per hour?

__________km/h
16A
The heights of three different saplings are recorded over a five month period in the chart below.
May
8 cm
10 cm
9 cm
Cherry
Oak
Maple
June
11 cm
15 cm
13 cm
Heights of Saplings
July
15 cm
22 cm
20 cm
August
20 cm
31 cm
28 cm
September
23 cm
37 cm
32 cm
What is the difference in the oak sapling’s height in June and its height in September in metres?
__________ metres
17A
The smaller circle’s area is
3
that of the larger circle. If the
5
radius of the larger circle is 5.2 cm, what is the radius of the
smaller circle?
5.2 cm

__________ cm
18A
A square and isosceles triangle share a side. This shared side is 20 cm long. The area
of the triangle is 65% of that of the square. Find the height, h, of the isosceles
triangle.

h
__________ cm
NSSAL
©2015
28
Draft
C. D. Pilmer
19A
The radius of a cone is changed from 2 metres to 3 metres,
but the height remains the same at 6 metres. What is the
percentage increase in the volume of the cone?

__________%
20A
Potash is mined and used mostly in the making of fertilizers. The eight counties with the largest reserves of
potash are listed in the table below.
Country
Canada
Reserves
Russia
3.3  10 tonnes
Belarus
7.5  10 tonnes
Brazil
3.0  10 tonnes
China
2.1  10 tonnes
Germany
1.5  10 tonnes
United States
1.3  10 tonnes
Chile
7.0  10 tonnes
4.4  10 tonnes
9
9
8
8
8
8
8
7
The combined potash reserves for Canada and Russia are how much larger than the combined reserves for
the United States and Chile? Express the answer without using scientific notation.
____________________ tonnes
21A
The masses of the planets and sun are shown in the first table below. The other table shows the average
distance between the planets and the sun
Planet or Sun
Mass
Planet
Distance from
Sun
Sun
1.99  10
30
kg
Mercury
5.79  10 km
Jupiter
1.90  10
27
kg
Venus
1.08  10 km
Saturn
5.68  10
26
kg
Earth
1.50  10 km
Neptune
1.02  10
26
kg
Mars
2.28  10 km
Uranus
8.68  10
25
kg
Jupiter
7.79  10 km
Earth
5.97  10
24
kg
Saturn
1.43  10 km
Venus
4.87  10
24
kg
Uranus
2.87  10 km
Mars
6.42  10
23
kg
Neptune
4.50  10 km
Mercury
3.30  10
23
kg
7
8
8
8
8
9
9
9
About how many times greater is the mass of the Sun than the mass of Venus?
(a) 4 000 000
(b) 400 000
(c) 40 000
(d) 4 000
NSSAL
©2015
29
Draft
C. D. Pilmer
22A
What is the volume of the object on the right?
(a) 1920 cm3
(b) 305 cm3
(c) 322 cm3
(d) Not enough information is supplied.

5 cm
5 cm
8 cm
12 cm
23A
The scale on a map is 1 : 200 000. Two towns are 12 cm apart on the map. How far apart are the two
towns in kilometres?
__________ km
24A
The rectangular slab for a building measures 48 metres by 24 metres. On the plans for that same building,
the slab measures 60 centimetres by 30 centrimetres. What is the scale of the plans?
(a) 1 : 800
(b) 1 : 125
(c) 1 : 60
(d) 1 : 80
25A
Bob is 80 kilometres ahead moving at 90 kilometres per hour, and Chantelle is traveling at 110 kilometres
per hour. How long for Chantelle to catch Bob?
__________ hours
26A
How many square tiles, each measuring 400 cm2, will be needed to cover a floor of dimension 3.8 m by 2.6
m?
__________ tiles

27A
What is the largest area that can be totally surrounded by 80 metres of fencing?
(a) 509 m2
(b) 12.7 m2
(c) 400 m2
(d) 536 m2
28A
A circle is inscribed in a square of area 9 cm2. What will be the area of the circle?

__________ cm2
NSSAL
©2015
30
Draft
C. D. Pilmer
Graphs and Functions
1A
If the point (2, -3) is reflected in the x-axis, what are the coordinates of the image point?
(a) (2, 3)
(b) (-3, 2)
(c) (-2, -3)
(d) (-2, 3)
2A
There are numerous quadratic functions that have the x-intercepts -2 and 3. Which one of these equations
would describe all of those possible quadratic functions? Please note that the variable a represents any real
number other than zero.

y  a x
(a) y  a x  x  6
(c)
3A
2
2
6



y  a x
2

2
 5x  6
(b) y  a x  x  6
(d)

The quadratic functions y  x  6 x  a and y  x  2 x  b have been graphed on the same coordinate
system. The values for the constants a and b have deliberately not been supplied.
2
2
y  x2  6 x  a
y  x2  2 x  b
Use this information to solve the quadratic equation 1  x  6 x  a . There may be one solution, two
solutions, or no solution to this question.
2
____________________________
NSSAL
©2015
31
Draft
C. D. Pilmer
4A
Three linear functions have been plotted on the same coordinate system. Two of the three functions have
the equations x  y  a and 2x  y  b , where the values for the constants a and b have deliberately not
been supplied.
Use this information to solve the following system of equations.
x  y  a and 2x  y  b
(a) (-1, -1)
(b) (-4, 2)
(c) (2, 5)
(d) (0, 1)
5A
In the beginning, a tower comprised of six blocks was constructed. Every minute, a new row of blocks was
added in the manner shown below.
t = 0 minutes
t = 1 minute
t = 2 minutes
t = 3 minutes
The total number of bricks in the tower is a function of time. Determine the two numbers that should be
entered into the equation below which describes the number of blocks, b, in terms of the time, t, in minutes.
b = _______t + _______
NSSAL
©2015
32
Draft
C. D. Pilmer
6A
A large container, which can hold 20 litres of water when filled to the brim, is being drained at a constant
rate. The diagrams show those changes in one minute intervals.
10 L
time = 0 minutes
10 L
10 L
time = 1 minute
10 L
time = 2 minutes
time = 3 minutes
The number of litres of water in the container is a function of time. Determine the two numbers that should
be entered into the equation below where the amount of water, w, measured in litres is expressed in terms
of time, t, measured in minutes.
w = _______t + _______
7A
A ball is thrown vertically into the air. The ball’s height above the ground is on the vertical axis. Time is
on the horizontal axis.
(a)
(b)
(c)
(d)
8A
Tyrus has been removing water from a cylindrical
steel drum using a water pump. The pump has three
modes; off, slow and fast. The graph shows the
relationship between the depth of the water in the
drum and time.
__________ centimetres
(b) On average, what is the rate of change in the depth
of the water with respect to time during this 20
minute interval?
100
Depth of Water in Centimetres
(a) By how much does the depth of the water
decrease in the 10 to 15 minute interval?
120
80
60
40
20
0
0
__________centimetres per minute
NSSAL
©2015
5
10
15
20
Time in Minutes
33
Draft
C. D. Pilmer
9A
Which one of these tables of values corresponds to a linear function (i.e. a function that can be written in
the form y  mx  b , where m and b are constants.)?
(a)
(b)
x
-4
-1
0
2
6
11
10A
y
5
7
9
11
13
15
(c)
x
-1.5
-1
-0.5
0
0.5
1
(d)
x
-1
0
1
2
3
4
y
2
3
5
8
12
17
x
-4
-2
0
2
4
6
y
9
5
1
-3
-7
-11
Which equation is equivalent to the equation y  2 x  6 ?
(a) x  2 y  6
(c) x  
11A
y
1
2
4
8
16
32
1
y3
2
(b) x 
1
y 3
2
(d) x  2 y  6
The graph of the linear function, f, is shown on the
right.
(a) Determine f(-3).
__________
(b) Which one of the following equations represents
the straight line shown on the right?
(i)
(ii) 4 x  3 y  6
4x  3 y  6
(iii) 3x  4 y  8
(iv) 3x  4 y  8
12A
If f  x   3x  4 , for what value of x does f  x   14 ?
(a) -38
(b) 6
(c) 46
(d) 3
1
3
13A
If f  x   x  4 x  5 , find f  3 .
2
__________
14A
If f  x   x  3x  2 , for what values of x does f  x   2 ?
2
x = __________ or x = __________
NSSAL
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C. D. Pilmer
15A
If the point (-3, 6) is horizontally translated 5 units and vertically translated 2 units, what would be the new
coordinates?
( _______, _______ )
16A
Three points representing three of the four corners
of a four-sided figure have been provided. The
four-sided figure is a parallelogram, but not a
rectangle. If you are restricted to the region shown
on the coordinate system to the right, determine the
coordinates of the fourth corner.
( _______, _______ )
17A
A triangle is provided on the right. Its vertices are at
(-3, 4), (4, 4), and (-1,-3). If each grid on the
coordinate system represents 1 cm by 1 cm, determine
the perimeter of the triangle to the nearest tenth of a
centimetre (i.e. to one decimal point).

__________ cm
NSSAL
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C. D. Pilmer
18A
A right angle triangle has been drawn on a coordinate
system where each grid represents 1 cm by 1 cm. Its
vertices are at (1, 6), (5, 6), and (5, 1).
(a) What is the perimeter of the triangle?

__________ cm
(b) If this triangle is enlarged such that its area
increases by 50%, what would be the area of this
enlarged triangle?

__________ cm2
Which one of these points lies on the linear function y  
(a) (-4, 12)
(c) (-6, 0)
20A
2
Janice needs some gravel for her driveway. She can
purchase it from two different companies. The two
companies charge different trucking fees and different rates
for each tonne of gravel. The following graphs show the
relationship between the cost, c, in dollars and the number, n,
of tonnes of gravel ordered for the two companies.
(a) Determine the equation that describes the cost of the
gravel for Company A in terms of the number of tonnes
of gravel ordered.
110
105
Company A
100
95
90
85
80
75
Company B
70
65
60
55
50
45
40
35
30
25
c = _______n + _______
(b) When is it more economical to order from Company A?
(i) n > 3
(ii) n > 55
(iii) 10 < n < 55
(iv) 0 < n < 3
NSSAL
©2015
x  4?
3
(b) (9, -2)
(d) (-15, 0)
Cost in Dollars
19A
36
20
15
10
5
0
0
1
2
3
4
5
6
7
8
9
Tonnes of Gravel
Draft
C. D. Pilmer
A bacteria population is growing in a Petri dish. The
concentration of bacteria per square centimeter is on the
vertical axis. The time, in hours, is on the horizontal axis.
(a) How long does it take for the population of bacteria to
double in size?
__________ hours
(b) What is the concentration of bacteria after four hours?
__________ bacteria per square centimetre
240
Concentration in Bacteria per Square Centimetre
21A
220
200
180
160
140
120
100
80
60
40
20
0
0
1
2
3
4
5
6
Time in Hours
22A
What are the coordinates of the point shared by the linear functions y  2 x  11 and y  
3
x3?
2
( _______, _______ )
23A
If f  x   5 x  7 and g  x   3x  5 , for what value of x does f  x   g  x  ?
__________
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Draft
C. D. Pilmer
Algebra
1A
The dimensions of the rectangle are 3n  5 cm and 2n  3 cm. If the
perimeter of the rectangle is 96 cm, what is the value of n?
__________ cm
2A
Asra is packing smaller boxes of identical size into a larger
box. The smaller boxes are cubes with a side length of 2n.
The larger box has the dimensions 14n by 10n by 6n. Which
expression describes the numbers of smaller boxes that will
fit into the larger box?
(a) 420n2
(b) 15
(c) 30n
(d) 105
3A
If you are given the volume of a sphere and asked to find the radius of the sphere, which one of these
formulas would allow you to do so?
(a) r
4V

(c) r 
4A

(b) r 
3
3
3
3 V
4
3V
(d) r
4

3
4V
3
The formula d  st describes the relationship amongst distance (d), speed (s), and time (t). If you have to
travel 385 kilometres, how much time, in hours, would you save travelling at 110 kilometres per hour
compared to 100 kilometres per hour?

__________hours
5A
A child’s admission to an amusement park is $1 less than half of an adult’s admission. If a child and adult
admission total $41.75, which one of these equations could be used to calculate the cost, c, of an adult
admission?
(a) 2c  1  c  41.75
(b) 2  c1  c  41.75
(c)
1
2
6A
NSSAL
©2015
 c1  c  41.75
(d)
1
c  1  c  41.75
2
Yisha is purchasing gravel for her driveway. The gravel company charges $48 per tonne plus a flat
delivery fee of $62. If she has $470 to spend on gravel and delivery, which equation will allow her to
determine the number of tonnes, t, she can purchase?
(a) 62  48t  470
(b) 48  62t  470
(c) 470  48t  62
(d) 470  62t  48
38
Draft
C. D. Pilmer
7A
Hamid works in a home appliance store. He can either earn $280 per week plus a 10% commission on his
sales, or $360 per week plus 5% commission on his sales. What do Hamid’s sales have to be in order for
the two earning options to pay the same amount?
$__________
8A
Candice is 2 years less than triple her daughter’s age. If their ages total 46 years, how old is Candice?
___________ years
9A
If 7  2  56 , determine the value of k.
k
__________
10A
If 2 x  10 y  6 , then what does 2
(a) 2
(c) 6
x 5 y
equal?
(b) 4
(d) 8
11A
If x  3x  18 , what are the possible values for x?
(a) -9 or -2
(b) -6 or 3
(c) 9 or 2
(d) 6 or -3
12A
The sides of a rectangle are represented by the expressions x  3 and
x  1 . If the area of the rectangle is 96 cm2, what is the value of x?
2
96 cm2
__________ cm
13A
The variable x in the expression 4 x  3  2 x  9 is represented on the number line below by:
A
-8
-7
-6
-5
-4
(a) point B and all points less than B
(c) point A and all points greater than A
14A
C
B
-3
-2
-1
0
1
2
3
(b) all points less than point B
(d) all points less than point C
The area of the rectangle is represented by the expression x  2 x  24 . If the length of the rectangle is
represented by the expression x  4 , what expression would represent the width of the rectangle?
2
_______________
15A
NSSAL
©2015
If a  b  16 , b  c  11 and a  c  15 , then what will be the average of a, b and c?
(a) 10
(b) 8
(c) 7
(d) 9
39
Draft
C. D. Pilmer
16A
What will be the value of k in the equation 2 x  kx  6  0 if ‘2’ is the root of this equation?
2
__________
17A
The average of five consecutive numbers is 24. What will be largest number of these?
__________
18A
If the sum of two numbers is -3 and the difference of the same two numbers is 11, what will be the product
of these two numbers?
__________
19 A
The dimensions of the figure are shown.
(a) Which one of these expressions represents the perimeter of the figure?
(i) 10x + 7y
(ii) 24xy
(iii) 17xy
(iv) 14x + 10y
7x
2y
5y
(b) Which one of these expressions represents the area of the figure?
(i) 24xy
(ii) 29xy
(iii) 23xy
(iv) 17xy
3x
20A
When 15 is added to the sum of two consecutive numbers, the answer is 62. What are the two consecutive
numbers?
__________ and __________
21A
With the expression 
2
3
(a)
(b)
(c)
(d)
x  4 , if x is decreased by 12, then the expression:
increases by 8
decreases by 9
increases by 4
decreases by 6
22A
With the expression 2  3 , if x is increased by 2, then the expression increases by a factor of:
(a) 26
(b) 9
(c) 6
(d) 18
23A
If a  2 x , b  x  3 , and c 
x
(a) 3x  14 x  9
(b) 5 x  8 x  9
(c) 3x  8 x  9
(d) 5 x  14 x  9
2
2
NSSAL
©2015
4
2
2
x , then express a  b  10c in terms of x.
5
2
2
40
Draft
C. D. Pilmer
24A
Solve the equation x  3x  4  5 .
(a) x = -1.854 or x = 4.854
(c) x = 4 or x = -1
2
(b) x = 1.854 or x = -4.854
(d) x = -4 or x = 1
25A
Where does the quadratic function y  x  3x  10 intersect the x-axis?
(a) (5, 0) and (-2, 0)
(b) (0, -10)
(c) (-10, 0)
(d) (-5, 0) and (2, 0)
26A
Where is the linear function y  3x  6 above the x-axis?
(a) x > -6
(b) x > 2
(c) x < -6
(d) x < 2
27A
An angle, in degrees, is represented by x. If its supplementary angle, in degrees, is represented by the
expression 3x + 20, what is the value of x?
2
__________ o
NSSAL
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Draft
C. D. Pilmer
Geometry and Trigonometry
1A
Two planes leave the same airport at the same time. One travels north at 240 km/h and the second flies
west at 180 km/h. How far apart will the planes be in 90 minutes?

__________ km
2A
A right triangular lot is shown below. If you travelled 220 metres around the outside of the lot, what
percentage of the perimeter have you travelled?

130 m
80 m
___________%
3A
Two brothers are dividing the rectangular family property
into two equal parts in the manner shown on the diagram. If
they wish the put a fence along that dividing line, how long
will the fence be (to the nearest metre)?
65 m

__________ metres
65 m
A diagram of Angela’s property is shown on the right. She has all but
one dimension for her property. If she needs to put fencing around the
property, how much will she need?
40 m
fence
20 m
4A
20 m
19 m

___________ metres
20 m
10 m
5A
Determine the length of x to the nearest centimetre.

10 cm
18 cm
NSSAL
©2015
17 cm
27 cm
__________ cm
42
x
Draft
C. D. Pilmer
6A
An angle is equal to one third of its supplement. What would be the measure of that angle in degrees?
__________o
7A
If the difference between the two acute angles of a right triangle is 10ᵒ, what is the ratio of the smaller acute
angle to the larger acute triangle in simplest terms?
__________
8A
Marcus wants to know the width of a river but
he has no means to take that measurement
directly. He decides to make some
measurements along the shoreline to
accomplish this task. The distance from A to B
is 68 m. The distance from B to C is 49 m. The
distance from B to D is 55 m. Determine the
width of the river.
(a) 38.6 m
(c) 60.6 m
9A
River
A
B
C

D
(b) 76.3 m
(d) 34.7 m
In a certain right-angle triangle, one acute angle is two-thirds of the right-angle. What is the measure of the
other acute triangle in degrees?
__________o
10A
In the diagram, CD is 30% larger than EB. If EB measures 40
centimetres and AE measures 35 centimetres, determine the
length of AD.
A
__________ centimetres
B
E
D
11A
NSSAL
©2015
The circle is made up of six sectors: three shaded sectors and three non-shaded
sectors. If the central angle of each shaded sector is 70 o, what fraction of the
circle is not shaded?
7
5
(a)
(b)
12
12
11
17
(c)
(d)
36
36
43
C
70o
70o
70o
Draft
C. D. Pilmer
12A
What is the measure of EFG ?
F
__________o
G
120
o
100o
C
13A
E
D
What is the measure of DFG ?
E
__________o
D
30o
35o
F
G
14A
What is the measure of IMJ ?
M
L
N
80o
__________o
140o
H
15A
K
J
I
If NP = 6.7 cm and OP = 5.5 cm, what is the
length of NO?
P
35o
__________ cm
Q
125o
N
O
16A
Two trees stand side by side on level ground. The smaller tree is 3 metres tall and casts a shadow 4.2
metres long. At the same time, the larger tree casts a shadow 5.6 metres long. How tall is the larger tree?
__________ metres
NSSAL
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Draft
C. D. Pilmer
Answers
We have identified the difficulty level of each question (1 – easiest, 3 – challenging). We have also indicated
whether the question is representative of the 2002 test series or the 2014 test series. We are working under the
assumption that anything indicative of the 2002 test series will still likely appear in the 2014 test series.
Word Problems: Whole Numbers and Money (pages 1 to 10)
1A
Level 2 2002 Test Series
(b) Lana has one-fourth the number of keys as compared to Ajay.
2A
Level 1 2002 Test Series
(a) 10
3A
Level 2 2002 Test Series
(d) Dan is younger than Genevieve by 4 years. If he is 52 years old, then Genevieve is 48 years old.
4A
Level 1 2002 Test Series
(a) 40, 30, 70
5A
Level 1 2002 Test Series
(c) Rajani ran 6 kilometres per day over 7 days. In that period of time she ran 42 kilometres.
6A
Level 2 2002 Test Series
(b) between 8 and 9
7A
Level 2 2002 Test Series
(d) 21
8A
Level 1 2002 Test Series
300
9A
Level 1 2002 Test Series
1350
10A
Level 1 2002 Test Series
180
11A
Level 1 2002 Test Series
(c) $400
12A
Level 1 2002 Test Series
(a) $295
13A
Level 2 2002 Test Series
945  130  45
(c)
4
14A
Level 2 2002 Test Series
(a) 10  5  12.70  1.91
NSSAL
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Draft
C. D. Pilmer
15A
Level 3 2002 Test Series
(d) 12  90    2  480 
16A
Level 3 2002 Test Series
(d) output  3  input  4
17A
Level 2 2002 Test Series
$153
18A
Level 2 2002 Test Series
$77
19A
Level 2 2002 Test Series
$80
20A
Level 3 2002 Test Series
$344
21A
Level 2 2002 Test Series
48 mm
22A
Level 3 2002 Test Series
(a) 5oC
(b) 19 oC
23A
Level 3 2002 Test Series
(a) Candice Spencer
24A
Level 2 2002 Test Series
$99.75
25A
Level 3 2002 Test Series
$1296
26A
Level 3 2002 Test Series
42 bikes
27A
Level 3 2002 Test Series
$239.80
28A
Level 2 2002 Test Series
$26
29A
Level 3 2002 Test Series
2
3
3.456  10 , 458, 9  10 , 2.5  10 , 6752, 1.09  10
2
30A
Level 3 2002 Test Series
1  10
NSSAL
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4
3
46
Draft
C. D. Pilmer
Proportional Reasoning (pages 11 to 17)
1A
Level 2 2002 Test Series
(b)
1
x

8 46
2A
Level 1 2002 Test Series
$67.43
3A
Level 2 2002 Test Series
(a) (i) 7:4
(b) 264 visits
4A
Level 3 2002 Test Series
44.2% or 44%
5A
Level 2 2002 Test Series
28%
6A
Level 2 2002 Test Series
11
(b)
40
7A
Level 2 2002 Test Series
3575 kilometres
8A
Level 3 2002 Test Series
800%
9A
Level 2 2002 Test Series
1 2 7 11 4
(d)
, ,
,
,
8 5 10 12 3
10A
Level 2 2002 Test Series
9
11
(b) 0.05, 40%,
, 75%,
, 1.1
16
12
11A
Level 3 2002 Test Series
7
1
3
-1.2,  ,  , 8%, , 90%
8
10
5
12A
Level 2 2002 Test Series
(c) 56
13A
Level 3 2002 Test Series
360 m2
14A
Level 2 2002 Test Series
26%
15A
Level 2 2002 Test Series
$2136
NSSAL
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Draft
C. D. Pilmer
16A
Level 3 2002 Test Series
$2497.50
17A
Level 2 2002 Test Series
(a) Checkout
(b) Floor Staff
18A
Level 1 2002 Test Series
65%
19A
Level 2 2002 Test Series
$45.35
20A
Level 1 2002 Test Series
29%
21A
Level 2 2002 Test Series
$55
22A
Level 2 2002 Test Series
41%
23A
Level 1 2002 Test Series
2
(b)
, 0.4, 40%
5
24A
Level 2 2002 Test Series
2300 items
25A
Level 3 2002 Test Series
15 000 cm3
26A
Level 3 2014 Test Series
1 5
2
(d) x , x  1 , ,
x x2
27A
Level 2 2002 Test Series
1
10
28A
Level 2 2002 Test Series
3
3
8
29A
Level 2 2002 Test Series
$11.75 per hour
30A
Level 3 2002 Test Series
9
inches
16
NSSAL
©2015
48
Draft
C. D. Pilmer
31A
Level 2 2002 Test Series
7
inches
4
16
32A
Level 3 2002 Test Series
3
1
1
6 inches by 4 inches by 1 inches
8
4
4
Statistics and Probability (pages 18 to 24)
1A
Level 1 2002 Test Series
0.23 seconds
2A
Level 3 2002 Test Series
-6oC
3A
Level 3 2002 Test Series
(c) The median of the golfer’s score for six rounds of golf can be determined with the information that was
provided above.
4A
Level 2 2002 Test Series
$868
5A
Level 2 2002 Test Series
(a) 100
6A
Level 1 2002 Test Series
5
(d)
33
7A
Level 1 2002 Test Series
55 minutes
8A
Level 2 2002 TestSeries
(a) 11 centimetres
(b) 25 centimetres
9A
Level 3 2002 Test Series
(c) The combined reading time of the two adults is 380 seconds.
10.
Level 2 2002 Test Series
(a) (ii) During the time of the survey, the percentage of computer usage is higher than the percentage of
smartphone usage within each of the five age ranges captured in the survey.
(b) 204 people
(c) (iv) Cannot be determined; not enough information is provided.
11A
Level 1 2002 Test Series
21oC
12A
Level 1 2002 Test Series
10%
NSSAL
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49
Draft
C. D. Pilmer
13A
Level 1 2002 Test Series
2
14A
Level 2 2002 Test Series
6 blue marbles
9 red marbles
15A
Level 2 2002 Test Series
55 people
16A
Level 3 2014 Test Series
(c) 0.56
Level 2 2002 Test Series
0.4
17A
5 yellow marbles
18A
Level 3 2002 Test Series
35.7
19A
Level 2 2002 Test Series
(a) (ii) During this time, the number of full-time employees initially increased then decreased, but the
steady increase in the number of part-time employees resulted in an increase in the total number
of employees from year to year.
(b) (i) 1 : 2
(c) (iv) 17%
20A
Level 2 2002 Test Series
5
(c)
6
21A
Level 2 2002 Test Series
60
(a) (iii)
37
(b) (iii) A line graph
(c) 315 people
Measurement (pages 25 to 30)
1A
Level 1 2002 Test Series
(c) 180 cm
2A
Level 3 2002 Test Series
(d) 12r  3 r
2
2
3A
Level 3 2014 Test Series
56 cans
4A
Level 3 2002 Test Series
12 cm
5A
Level 1 2002 Test Series
(d) 11 280 cm2
NSSAL
©2015
50
Draft
C. D. Pilmer
6A
Level 3 2002 Test Series
2
(a)
1
7A
Level 3 2002 Test Series
x = 44 cm, 43.9 cm, or 43.86 cm
y = 30 cm
8A
Level 2 2002 Test Series
x = 3 cm
9A
Level 3 2002 Test Series
12 times
10A
Level 2 2002 Test Series
1077 cm3
11A
Level 3 2002 Test Series
174%
12A
Level 3 2014 Test Series
36
(b)
25
13A
Level 1 2002 Test Series
14.3 cm2
14A
Level 1 2002 Test Series
300 kilometres
15A
Level 2 2002 Test Series
30 km/h
16A
Level 1 2002 Test Series
0.22 metres
17A
Level 3 2002 Test Series
4 cm
18A
Level 3 2002 Test Series
26 cm
19A
Level 3 2002 Test Series
225%
20A
Level 2 2002 Test Series
7 500 000 000 tonnes
21A
Level 3 2002 Test Series
(b) 400 000
22A
Level 1 2002 Test Series
(d) Not enough information is supplied.
NSSAL
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Draft
C. D. Pilmer
23A
Level 1 2002 Test Series
24 km
24A
Level 2 2002 Test Series
(d) 1 : 80
25A
Level 1 2002 Test Series
4 hours
26A
Level 1 2002 Test Series
247 tiles
27A
Level 3 2002 Test Series
(a) 509 m2
28A
Level 2 2002 Test Series
7.1 cm2
Graphs and Functions (pages 31 to 37)
1A
Level 1 2002 Test Series
(a) (2, 3)
2A
Level 2 2002 Test Series

(a) y  a x  x  6
2

3A
Level 1 2014 Test Series
-3
4A
Level 3 2002 Test Series
(a) (-1, -1)
5A
Level 1 2002 Test Series
b = 3t + 6
6A
Level 1 2002 Test Series
w = -4t + 20
7A
Level 1 2002 Test Series
(a)
8A
Level 2 2002 Test Series
(a) 50 centimetres
(b) -5 centimetres per minute
NSSAL
©2015
52
Draft
C. D. Pilmer
9A
Level 1 2014 Test Series
(d)
x
y
-4
9
-2
5
0
1
2
-3
4
-7
6
-11
10A
Level 3 2002 Test Series
(c) x  
1
y3
2
11A
Level 2 2014 Test Series
(a) 4
(b) (iv) 3x  4 y  8
12A
Level 1 2014 Test Series
(b) 6
13A
Level 1 2014 Test Series
-8
14A
Level 2 2014 Test Series
x = -4 or x = 1
15A
Level 1 2002 Test Series
(2, 8)
16A
Level 1 2002 Test Series
(-3, -2)
17A
Level 3 2002 Test Series
22.88 cm
18A
Level 2 2002 Test Series
(a) 15.4 cm
(b) 15 cm2
19A
Level 1 2002 Test Series
(b) (9, -2)
20A
Level 2 2002 Test Series
(a) c = 15n + 10
(b) (iv) 0 < n < 3
21A
Level 1 2002 Test Series
(a) 2 hours
(b) 120 bacteria per square centimetre
22A
Level 2 2002 Test Series
(4, -3)
NSSAL
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Draft
C. D. Pilmer
23A
Level 1 2014 Test Series
6
Algebra (pages 38 to 41)
1A
Level 2 2002 Test Series
8 cm
2A
Level 3 2002 Test Series
(d) 105
3A
Level 3 2014 Test Series
(c) r 
3
3V
4
4A
Level 2 2002 Test Series
0.35 hours
5A
Level 2 2002 Test Series
1
c  1  c  41.75
(d)
2
6A
Level 1 2002 Test Series
(c) 470  48t  62
7A
Level 3 2002 Test Series
$1600
8A
Level 2 2002 Test Series
34 years
9A
Level 2 2002 Test Series
3
10A
Level 3 2014 Test Series
(d) 8
11A
Level 1 2002 Test Series
(b) -6 or 3
12A
Level 2 2002 Test Series
9 cm
13A
Level 2 2002 Test Series
(b) all points less than point B
14A
Level 2 2002 Test Series
x-6
15A
Level 3 2002 Test Series
(c) 7
NSSAL
©2015
54
Draft
C. D. Pilmer
16A
Level 3 2014 Test Series
7
17A
Level 2 2002 Test Series
26
18A
Level 3 2002 Test Series
-28
19A
Level 2 2002 Test Series
(a) (iv) 14x + 10y
(b) (iii) 23xy
20A
Level 2 2002 Test Series
23 and 24
21A
Level 1 2002 Test Series
(a) increases by 8
Level 2 2002 Test Series
(b) 9
22A
23A
Level 2 2002 Test Series
(d) 5 x  14 x  9
2
24A
Level 1 2014 Test Series
(b) x = 1.854 or x = -4.854
25A
Level 2 2014 Test Series
(a) (5, 0) and (-2, 0)
26A
Level 3 2014 Test Series
(b) x > 2
27A
Level 1 2002 Test Series
40o
Geometry and Trigonometry (pages 42 to 44)
1A
Level 2 2002 Test Series
450 km
2A
Level 3 2002 Test Series
70.4%
3A
Level 1 2002 Test Series
60 metres
4A
Level 2 2002 Test Series
66.9 metres
5A
Level 3 2002 Test Series
8 cm
NSSAL
©2015
55
Draft
C. D. Pilmer
6A
Level 3 2002 Test Series
45o
7A
Level 2 2002 Test Series
4:5
8A
Level 3 2002 Test Series
(d) 34.7 m
9A
Level 1 2002 Test Series
30o
10A
Level 1 2002 Test Series
45.5 centimetres
11A
Level 1 2002 Test Series
5
(b)
12
12A
Level 2 2002 Test Series
70o
13A
Level 2 2002 Test Series
65o
14A
Level 2 2002 Test Series
60o
15A
Level 3 2002 Test Series
3.8 cm
16A
Level 1 2002 Test Series
4 metres
NSSAL
©2015
56
Draft
C. D. Pilmer
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