Mathematics Department
Practice Test 2
2014-2015
Name ___________________________
Chapters 7, 11 & 14
Class/Form __________
*You must show your work for each problem. Remember to complete the “Level of
Understanding” column.
Levels of Understanding: 4 = Professional
2 = Beginner
#
1
3 = Intermediate
1 = No Idea
Level of
Understanding Skill(s) to study/Lesson Title, Page #
If you want more practice…
4, 3, 2, 1
Converting Fractions, Decimals, Percents Book page 72 #’s (1–5), pg. 82 #’s (1–4),
7.1 pgs. 71-72 & 11.1 pg. 111
pg. 111 #’s (1,2), pg. 119 #’s (1)
2
Simplifying Ratios
14.1 pgs. 141-142
Book page 141 #’s (1,2), pg. 146 # (1)
3
Ordering Fractions
7.3 pg. 74
Book page 73 #’s (1–3), pg. 74 #’s (1–4),
pg. 82 #’s (5,6)
3c
Converting Fractions to Decimals
7.2 pg. 73
Book page 73 #’s (1–3), pg. 82 #’s (5)
4 ad
Multiplying Fractions
7.8 pgs. 80-81
Book page 80 #’s (1,2), pg. 82 #’s (9abcd,
10abc)
4 bc
Dividing Fractions
7.8 pgs. 80-81
Book page 81 #’s (3,4), pg. #’s (9ef, 10de)
5ab
Calculating Percentages
11.1 pgs. 111-112
Book page 111 #’s (3–7), pg. 119 # (2)
5cd
Percentage Increases & Decreases
11.2 pgs. 113-114
Book page 113 #’s (1–4)
6
Adding & Subtracting Fractions
7.4 pgs. 75-76
Book page 76 #’s (1–7), pg. 82 #’s (7,8)
7
Percentage Increases or Decreases
11.2 pgs. 113-114
Book page 113-114 #’s (7–9,11), pg. 119
#’s (7,8)
8
Dividing an Integer by a Fraction
7.7 pg. 79
Book page 79 #’s (1–4), pg. 82 #’s (10de)
9
Finding Percentages
11.3 pgs. 115-116
Book page 115-116 #’s (1–5), pg. 119 #
(9)
10
Percent of Change
11.4 pgs. 117-118
Book page 116 #’s (6,8–10), pg. 117 #
(3), pg. 119 #’s (10,11)
11
Sharing in a Ratio
14.2 pgs. 143-144
Book page 143 #’s (1–8), pg. 147 #’s
(3,4,6,9,10)
Year 8
Mathematics
2014 – 2015
1) The table below lists some common fractions, decimals & percentages. Complete the
table for the missing values.
4
5
Fraction
Decimal
0.35
0.01
1
20 %
2
Percent
2) Simplify these ratios.
a) 2 : 8
b) 12 : 24 : 48
c) 18 : 42 : 63 : 96
d) 45 : 90
3) Write the values in order from smallest to largest.
a)
5
6
, 0.77 ,
3
4
7
b)
, 0.83
9
, 0.75 ,
4
5
, 0.9
c) Which fractions above are recurring decimals?
4) Work these out. Write each answer in simplest form. Show your work.
a)
5
8
×
4
15
b)
7
8
÷
3
4
c)
7
12
÷
8
9
4
3
5
8
d) ×
5) Calculate these amounts.
a) 35% of 160 kilometers
b) 12% of 60 grams
c) Increase $150 by 35%.
d) Decrease QR 90 by 25%
6) Find the value. Write your answer in simplest form. Show your work.
a) 8
1
12
−2
5
4
1
9
18
b) 1 + 7
6
5
1
6
4
c) +
d)
5
9
−
1
2
7) In a sale, a shop sells camping equipment for $735. The store decides to have a sale for
35% off. What is the sale price of the camping equipment? Show your work.
8) You have 20 kilograms of rice. How many rice bags can you make if you want each bag
3
to weigh kilograms? Show your work.
4
9) In the photography club after school there are 22 girls and 7 of them are wearing blue, 8
are wearing yellow and the rest are wearing orange. There are 23 boys and 11 of them
are wearing blue, 6 are wearing green and the rest are wearing black. What is the
percentage of children that are wearing blue? Show your work.
10) The table shows the value of a rare airplane model over time. What was the
percentage increase or decrease from 1990 to 2010? Show your work.
Year
1990
2000
2010
Value ($)
200
240
310
11) A grandfather gives $4,640 to be shared with his grandchildren in the ratio of their ages.
The grandchildren are 13, 14, 16, 18 & 19 years old. How much more money does the
second oldest receive than the youngest? Show your work.
Answer Key
1. Conversion rules, Fractions:
7
20
,
205
1000
,
1
100
Decimal: 0.8 , 0.205
Percent: 1% , 35% , 80%
2. Common factors, like simplifying fractions a) 1 : 4 b) 1 : 2 : 4 c) 6 : 14 : 21 : 32 d) 1 : 2
3. Convert D to F or F to D
4. a)
1
6
cross cancel?
b) 1
3
5
4
6
a) , 0.77 , 0.83 ,
1
6
(÷ flip 2nd fraction)
5. “of” = multiply a) 56 kilometers
b) 7.2 grams
6. Need common denominator
a) 5
1
4
7
4
9
5
b) 0.75 , , , 0.9
c)
21
d)
32
1
2
c) 1
5
6
,
7
9
3
10
c) $202.50
b) 8
c)
d) QR 67.50
1
d)
2
1
18
7. $477.75 is the new price (sale price). You save $257.25 then subtract that from original
price.
3
2
4
3
8. Keep taking away for each bag (divide) and you’re left with 26 so 26 bags of rice
9. 40% wear blue. 18 students wear blue divided by 45 total students.
10. 55%, remember to find the percent of change (
𝑛𝑒𝑤−𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙
𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙
310−200
) × 100, (
200
) × 100
11. $290 , ratio sharing problem so find the total to share with by adding the ages of kids to
get 80. Then divide $4,640 by 80 to get 58 for each year/age. 2nd oldest is 18 so total is
$1,044 minus youngest at 13 so total is $754 to get answer.