PART 2
STRAIT REGIONAL SCHOOL BOARD
GRADE 7 ASSESSMENT
June, 2009
NAME _________________________
Teacher _________________________
School _________________________
MULTIPLE CHOICE: Please write the letter of the best possible answer in the space at the left.
( 1 point each)
24. __C___ The order of rotational symmetry of a regular hexagon is
A) 2
B) 3
C) 6
D) 12
25. ___D____ Which number is halfway between 10% and 11%?
A) 10.5
B) 10.2
C) 1.05
D) 0.105
26. __C____ What is the value of -10 – ( -64  8) ?
A) 2
B) -18
C) -2
D) 6.75
27. ___C__ Joe received these test scores: 80, 96, 84, 91, 90, 84, 60, 88.
If he wants to
impress his mother, which of the following would he choose to represent his marks?
A) Mean
B) Mode
C) Median
D) Range
28. __D__ Kelly ate one-fifth of a pizza, Freda ate 0.3 of the pizza and Jones ate 40% of the pizza.
How much of the pizza was left uneaten?
A) 90%
B) 30%
C) 20%
D) 10%
29. __B__ Which subtraction statement is represented by the set of
diagrams at the right? ( Shaded markers are positive.)
A) (+4) – (+5)
B) (+4) – (-5)
C) (-4) – (+5)
D) (-4) – (-5)
30. ___D_ What is the value of 6n – 5 when n = 0?
A) 0
B) 1
C) 5
D) -5
31.__A__ Nick traveled from the top of Fox Mountain at an
elevation of 1008 m above sea level, to the bottom of Mist Valley which was 86 m below sea
level. What was the change in altitude between Fox Mountain and Mist Valley?
A) -1094 m
B) -922 m
C) 922 m
D) 2188 m
32. __B__ Which equation is modeled by this diagram.
A) x + 3 = 11
B) 2x + 3 = 11
C) 2x + 3 = 9.2
D) 2x – 3 = 11
33.___B__ Which choice below expresses 182 000 in scientific notation?
A) 18.2 x 104 B) 1.82 x 105
C) 1.82 x 103
D) 0.182 + 106
34.__C__ Which equation fits the table at the left?
A) s = 4h
B) h = 3s +1
h
s
1
4
C) s = 3h +1
2
7
3
10
10
31
D) h = 3s - 1
35. _B__
Rodney had a cube made from Play Dough. He sliced a small regular pyramid from each
of its vertices. The solid Rodney made after cutting had
A) 8 vertices
B) 14 faces
C) 12 edges
D) 24 faces
36. _A___Which statement could be inferred from reading the
histogram on the right?
A) Few seniors older than 85 live in apartments.
B) More than half of seniors older than 80 live in apartments.
C) Most seniors own their own condominiums.
D) The median age of seniors living in apartments is 80.
37. __C__Braemore Co-Op sells oranges for $5.58/dozen.
What will 8 oranges cost at this price?
A) $2.68
B) $3.78
C) $3.72
D) $4.10
38.__D__ Sam was running home from the soccer field. He stopped to rest for a moment, realized that
he had forgotten his Jersey at the soccer field and ran back to get it.
Which graph below best fits Sam’s situation?
PART B: Please show all of your work for this part of the assessment. Be sure to attempt all
questions because marks will be given for partial answers. ( 3 points each)
39. Pierre drives 75 km/h in winter. If he drives
for 2 h and 20 minutes at this speed, what distance
will he travel? Show all work.
40. Use a model of you choice to show how to
find: (+4) x (-2). Write a sentence to explain your
model.
2 h 20 min = (2 x 60 + 20) min = 140 min
Use double-sided counters.
The white side of the counters are positive.
This statement can be interpreted as
“Put on 4 sets of (-2).”
Use equivalent rates:
75 km = 15 km = 5 km = 2.5 km = 175 km
60 min
12 min
4 min
2 min
140 min
OR Use a unit rate.
75 km/60 min = 1.25 km/ min
140 min x 1.25 km/min = 175 km
This makes a set of (-8)
41. Draw an equilateral triangle using FG as one
of its sides. Describe your method. Be sure to
state what tools you used.
F
G
Students can use
Bullseye or compass to create 3 equal sides.
Protractor and ruler to make base angles of 60
degrees.
Ruler and protractor to make perpendicular
bisector and a point equidistant from F and G.
42. Describe one or more transformations that
would move the white shape on top of the shaded
shape.
EITHER
Reflect the white pre-image through the vertical
line. Then take the resulting image and translate it
[0, -2]
OR
Translate the white pre-image [0, -2].
Then take the resulting image and reflect it
through the vertical line.
43. Mr. Smith has 10 math students . When he gave back his Math test, he found the following:
Mean: 72%
Mode: 65%
Later Mr. Smith found an error in the answer key
and decided to increase every student’s grade in
the class by 5%.
A) How did this affect the mean, median, and
the mode?
All three measures of central tendency increased
by 5 %.
Median: 65%
B) Create a set of ten marks that will fit the
mean, median and mode before the correction
was made. (The lowest mark was 53% before
corrections were made.)
Many possible solutions. Students should use the
extreme, the mode and the fact that the sum must
be 10 x the mean = 720.
One possibility
53, 65, 65, 65, 65, 65, 85, 85, 85, 87
44. Amanda wanted a pair of soccer shoes that sold regularly for $125.00. She waited until they
were put on sale at a 30% discount. What total must she pay if she buys them on sale and the HST
is 13%?
Discount = 30% of $125.00
= 0.3 x $125.00
= $37.50
Sale Price: $125.00 - $37.50 = $87.50
HST = 13% of $87.50
= 0.13 x $87.50
= $11.375 or $11.38
Total = $87.50 + $11.38 = $ 98.88
PART C: 6 points each. Show all steps here. Points will be given for partial answers.
45. John is making a pattern from 1 cm cubes.
A) Draw the next three sketches in his pattern.
B) Write an equation that relates the number of cubes used to the diagram number and use your
equation to find what diagram number requires 96 cubes.
Diagram 1,
Diagram 2,
Diagram 3,
Diagram 4
Diagram 5
Diagram 6
B) Use drawings
I see a blank square that is enclosed by cubes along each of its sides and then 4 corner cubes
are added.
Each time the diagram number increases, the length of the blank square increases by 1 and
four extra cubes must be added to enclose the centre square.
This means that the number of cubes needed is 4 times the diagram number plus 4 more cubes to
fill in the corners. Equation: c = 4d + 4
OR Construct a table.
d 1 2 3 4 5
c 8 12 16 20 24
I notice that the number of cubes used increases by 4 for each increase in diagram number so this
tells me that the equation will have a multiply by 4 term.
c = 4n + 4 works for all the sections of the table
For 96 cubes,
c = 4d + 4
96 = 4d + 4
96 - 4 = 4d + 4 -4
92= 4d
92= 4d
4
4
23 = d
The 23rd diagram requires 96 cubes.
46. Mary likes playing games of chance. She bets $0.25 only if the probability of winning is greater
than 50%. If a player wins when the arrows on both spinners land on Red, should she bet on this
game? Justify your answer.
Red
Red
Red
Blue
Tree diagram of possibilities :
Outcomes List:
Spinner 1
Red, Red
Red, Red
Red, White
Red
Red
Blue
Spinner 2
Red
Red
White
Red
Red
White
Red
Red
White
Red
White
Red, Red
Red, Red
Red, White
Blue, Red
Blue, Red
Blue, White
There are a total of nine outcomes. Four of these show Red on both spinners so the probability of
4
spinning double Red is
or 0.4444 or about 44%.
9
Since Mary bets only when the probability of winning is above 50%, she should not bet in this case.