Grade 9 Prelimina:.-y Mathematics Assessment·
1.
Choose the equatiou below that best descri':les the following sentence:
The sum of five times a nu:r:1ber increased by six is forty·five.
a) 6x + y =45
2.
3
c) 5x + 6
=45
d) 6x + 5 = 6x
The length of a rectangle is 6 em more t~an the width, The per:meter of the rectangle is 52 em..
Find the length and the width of the recta)] gle.
l~n;
a) length is 10 em; width is 10 em
b) length is
c) length is l&m; width is 10 em
d) length is 10 en: width is 16 en:
width is 16 ern.
Find the next three numbers in the following pattern: 27. 22, 17, 12,
a)
4
b) 5)( + 45;;;; y
42, 37,32
b) 7,2,-3
c)
9, 3, 6
d) 12, 7,2
Solve the following equation for m:
9m - 0.8 = 7m + 4.8
a) 5.6
5,
b) 2
c) 4
Find the vah.:e of ac ­ 2b if a
= 1.5, b = 2.5, and c;:::; 3.5
a)
10.25
b) 0.52
c) 0.25
d) 2.8
d) 1,25
_~
________
• Questions for Grade 8 Slucie;lt$ • Pa!ee 2
6. One cube has a surface area of 6 square units. Two cubes, attached as sho1.'.'n, have a surface
a:ea of 10 square unitS. 'Ibree cubes attached in i..1e sa.'1le way have a surface area of 14 square
units.
B ( r ~ ( ( ( ~
Deternll:1e the sur-ace area cf 9 cubes attached in the same way.
a) 29 square units
b) 36 square uni~s
c) 37 square units d) 38 squa..-e U:lits 7. Given the numeric sequence 1, 3, 5,7,9, ... , determine tbe desuiptiQD of the nth term, \vhere
n is a natural number.
a) 2n + 1
c)
b) 2n - 1
2D d) 3n
2
8. Jade has x nickels and y dimes. Altogether. there are 13 cOlns with a total value of $1.05.
Find the equation which represents the total value of the coi:::;s.
a) x + y
= 13
'J) 5x - lOy = 13
c) 5x + lOy == 1.05 d) 5x + lOy::; 105 9, Detenrj::1e the value of 2x + 3y if x
(3) 11
'J) 13.5
2,5 and y ;;:: 3,
c)
14
d) 18
c)
16
d) 18
10. Solve for x: 2x -10;;:: 18.
a) 12
b) 14
Use the following dlagram for questions 11, 12, and 13
3~m ~:
~
,
10m
..¢J,
/
/
"­
"­
"­
/
....
5:n
,
..
11. Calculate the pClimeter of the base and top surfaces.
a) 27 m
b) 24 m
c) 22
Tn
d) 23 m
12. F:nd the surface area of the bree vertical rectangular sides
a)
145 m 2
b) 14002
c)
120 m 2
d) 132:n2
13. Find 6e volume of the trla..':gular prism.
a) 60 m 3
b) 40 m 3
c) 50 m3
d) 150 m 3
• Questions for Grade B Students
.__________________________
~=4
14. Find the area of the shaded region in the diagram below.
~ ~/
"') a) 16 em.:.
? . ..,
c) __
3 cm-
b) 48 cm2
15. Sally wants to travel 40 km and expects to travel
at
d) 8 cm 2
a. rate of 80 krn/b.Find the best estimate of
t.1e time it will take her.
a) about 1 hour
b) about 2 hours
c) about 15 minums
d) about 30 min'Jtes
16. Carpet sells for $25.00 per square metre (m2 ). Caku1ate the cost of 8 m 2 of carpet.
a) $160.00
b) $200.00
c)
$ L50,00
d) $400
17. Estinate a reasonable height of a 13 yea:-old student.
a) 2.0 em
b) 0.5 km
c) 1.5 km
d) 6,0 dm
c) J'td2
'
..,
d) ref'"
1g. Stare the formula for the area of a circle.
a) 2n:r
b) ltd
• Questions for Grade 8 Stud~nts
19. The circumfe-.rence of a circJe is 62.8 em. Find l~ diameter of the circle.
b) 30 em
a) lOen
c) 20 em
d) 40 em
20, Find the total surface area of the follo.ving shape.
4::m
/L
i
/
----;'
I'
/
.
/
'
~//:'m
b) 32 cm2
a) 64 cm2
.
C)
OJ':
;7..)
?
cm-
d) 48 cm 2
21. A..-range t:.1-re follov.iing from grcate sf to least:
1
3'
a) ~.
0.55,
3'
0.55,
c)
2'
--/lA4
,..,
7
2'
.~
I
0.55,
-{i.44
1.44,
7
2
b' ,
) 2' .j 1.44,
d) 0.55)
0.55,
1
,J 1.44,
3>
1
3"
7
2
22. Evaluate and leave in fraction form.
1
1
...,
I
2 + 3' .;- 3'
a)
2
9
b) .!.
7
"
9
C; 14
5
d) 14
23. Eval'Uate a.1d leave in fraction fOlTIl. 1
3 /1
- ... -1- ...
4
2 \3
a)
1
"2
4
5
5
c) 3
'4 b)
3
d)
4
d)
5
24. Evalua:e and leave io fraction form 2
+ 7(8 - 5)2 15-=-3
a)
13
81
"5
b)
c)
?3
-
9
25. Evaluate.
( - 3)2 x 2 + ( 4 ) -:- ( - 2 )
a) - 11
b) 16
c) 27
d)
20
26. An airplane is flying at an altitude (height) of 3250 m. It descends (goes do\vn) 750 rr. and
then ascends (goes up) 550 m. What is the final altitt:ce?
a) 3450 m
b) 3500 m
27. Rewrite the number 2478
c)
4550 ill
d) 3050 m
expanded fonn.
a) 2>< 103 + 4 x 102 + 7 x 10 1 + 8 x 1
c) 2 >< 103 + 4 x 102 +- 7 X 100 + 8 x J
b) 2 x 104 + 4 x 103 + 7 x 102 + 8 x 1
d) 2 x J 0 4 + 4 x 10 2 ... 7 x J 0 ... 8 x 1
28. The population of Canada: 30 000 COO. The population of the United States: 240 000 000.
Find ho,,"' many times more people there are jn the UQited States t.1a:1 b Canada.
a) 6 :imes more people
c) 270000 000 more people
b) 210 000 000 more people 8 times more people ~ Questions
for Grade 8 Students
29. The price ofa soccer ball is $16,00, A 1.5% sales tc:x is added. Determii:e the final purchase price of the soccer balL a) $16.15
a)
d) $24.00
E, EJ that must be p~aced in the boxes to make the
30. List the operators,
statement true.
Statement:
c) $) 8.40
b) $13.60
2
r--: 4 11
LJ
LJ
b)
12!: 20 I x I.
c)
d)
!-
•
[xl 31. In Winnipeg (below left), for how muny months was the precipitation greater than 25 rom?
b) 5
a) 2
c)
6
d) 7
Frecipitation ju Winnipeg Student.~
in each grade
JC
11
200
90
.!::J
.§
80
3ill
'-<
0
70
l­
150
leo
li
E 50
,;.:­
Z
60
g 50
0
9
~
"; 40
.;;;
Grode
~
30 20 10
0
r
F M A M J
J
Months
A SON D
12
OAe
. . Paf::e 8
• Questions for Grade 8 Students 32. In a high school _. "'- .' the number of stude::1ts in each grade is shown. How many
stude::1~S are in grades 9 and 1O?
a) 245
'Cse the mathematics test marks below for
62
47
85
c) 350 b) 300
Mathematics Marks
68
52
66
71
44­
58
56
69
92
77
Ques~icns
d) 280
33, 34, 35 and 36,
81
70
54
33. How many students have marks above 70?
a) 4
b) 6
c)
9
d)
12
34 V{hat is the mean?
a) 66
.b) 62
c) 77
d) 67
b) 66
c) 77
d) 67
b) 62
c)
66
d I\ ........
/ I
35. What is the u:;cdian?
a) 62
36. \Vhar is the mode?
a) 67
A bag
~on:"j:lS
5 red marbles, 8 green marbles, and 12 white marbles.
37, \\'hat is t.he probabili:y of choosing a green marble?
a) 0.20
b) 0,48
c) 0,32
d) 052
38. 'What is the probabili:y of choosir.g a ma;!:J]e that is not white?
a) 0.52
b) 0.48
c) 0.20
080
• Pil"ge 9
• Questions for Grade 8 Students
Two fair dice are rolled.
39. Vv'hat is the probabilit)r of a total of 2 (snake eyes)?
a)
1
4
I
b) 36
1
1
c)
12
c)
8
d)
c) prism
d)
c) prism
d) cylinder
d) (5
40. Vvl1at js the probability of a total of 7 or II?
a)
1
6"
b)
2
9"
3
1
9
41. The diagram below shows the net for which solid?
a) cube
b) pyramid
cylind~r
42. The diagram below shows the net for which solid?
a) cube
b) pyramid
~
• Questions for Grade g S=-tu-=-=-dc-el1:.;.ct'",-s_ __
Page 10
43. The diagram below shows the net for which solid?
a) cube
b) pyraIr'Jd
c) IJrlsm
d) cylinder
44. Find :he measure of a.'1gle a in the following diagram.
a) 2f1'
b) flY
c) 100
d) 120"
45, Find t.'1e measu.fe of angle b in the diagram in Question 44.
a) 2Cf
b) f:If
c) 100°
d) 120°
c) 2Cf
d) SK)c
45. Fine the value of x in the following ciagram.
a)
lCf
b)
15~
47. Find the value for q in the following diagram.
a) 7r]"
b) lCOO
c) 110
d) 180"
48. Fir.d the measure of angle:X: in the followir:g dic.grarr.
x
a)
23.0
b)
:;) :6
2lr
d) 68"
49. Find the measure of angle Y lI: the following diagram.
)'-----­
a)
~
b) 100"
c)
120"
c)
38.16
d) 1800
50, Find the value of x correct to 2 decimal places.
I
20/
30
a) 36,06
b) 22.36
OJ
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