MBRIDGE FA

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OR
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U SIS W A

Cambridge Factor is the part of Edusiswa

International Olympic Commitee

INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD

Mathematic Practice Paper Grade 9
Developed and distributed by
EDUSISWA

WITH
ER
ANSW
KEY

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CAMBRIDGE FACTOR EDUSISWA
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Website : cambridgefactor.com
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
Developed and distributed by
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CT
OR
NATION
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OLYMPIA
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1. How to use this self-tryouts:

a. Try working on the following question packets
without the assistance of a teacher, parent,
friend, book, internet or any other learning
resource.
b. Set your timer to 60-minute and try to finish it

BRIDGE F
on time.
M
CA is on the final page;
c. The answer key A please
correct it yourself.
AL

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2. Medals can be obtained based on the following
OR
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scores:
OLYMP

a. Gold medal is awarded for a score of 95-100.

b. Silver medal is awarded for a score of 85-94
R

c. Bronze medal is awarded for a score of 75-84

E

I
T

A
N

D
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U SIS W A
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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AL

CT
OR
NATION
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OLYMPIA
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1. Divide the sum of and by their differences.

a.

b.

c.

d.

2. If f(x) ＝ MB, R IDGE .

find
FA
a. CA
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b.
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c.
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d.
R

3. What are the last two digits of ?

E

I
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a. 61
A
N

D
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b. 62
ED
c. 63 U SIS W A
d. 64
4. How many divisors of 10,125 are perfect cubes?
a. 3
b. 4
c. 5
d. 6
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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CT
OR
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OLYMPIA
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5. The area of triangle SPE is , and the measures of

segments SH, HE, PH, and TH are 5 cm, 3 cm, 4 cm, and 2
cm, respectively.

RID THE?
What is the area of the triangle
MB GE
FA
a. CA
b.
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OR
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c.
d.
OLYMP

6. The diagonal length AB of a cube is √300 cm.

ER

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A
N

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How many liters is the volume of the cube? U SIS W A
a. 1 liter
b. 2 liter
c. 3 liter
d. 4 liter
7. Dara was paid $125 for tutoring five days after school
for the Chen family.
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MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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Each day Mrs. Chen paid her $3 more than the day
before. How much money did she earn on the first day?
a. $115
b. $120
c. $125
d. $130

IDthird term this

8. What is the coefficient ofRthe
MB GE
FA
expression. CA
AL

CT
OR
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a. -6
b. -8
OLYMP

c. 4
d. 14
ER

9. Look at the area of quadrilateral PQRS below.

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A
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U SIS W A

What is the area of quadrilateral PQRS if the radius of

the circle is 5, PR = 13, and PQ and PS are tangent to the
circle whose center is at R?
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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a. 48 sq. units
b. 60 sq. units
c. 72 sq. units
d. 108 sq. units
10. A machine produces 1250 pencils in five hours. How
many pencils can the machine produce in 12.5 hours?
a. 3125
MBRIDGE F
CA
b. 2525
A
c. 3625
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d. 2615 OR
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11. 80% of the students in a class pass a math exam. If

OLYMP
six students failed the exam, find the number of
students in the class.
R

a. 30
E

b. 24
T

A
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c. 28
I

ED
U SIS W A
d. 22
12. If f(x) =
which of the following is the minimum value of the
function?
a.
b.
c.
d.
 CA
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13. If is an integer that makes all the roots of the

equation kx2+(k+1)x+(k-1)=0
integers, how many such are there?
a. 1
b. 2
c. 3
d. 4
M BRIDGE F
LA
14. If a straight line C A
passes through A(-3,9), and the
slope of L is 4. What is the y-intercept of L?
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OR
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a. 9
b. 17
OLYMP

c. 21
d. 23
ER

15. If 4x28x-4,
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find the number of integral possible value(s) of ?

D
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(no 2) ED
a. 1 U SIS W A
b. 2
c. 3
d. 4
16. Three fair six-sided dice are thrown, What is the
probability that the sum of the outcomes is even?
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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a. ½
b. ⅓
c. ¼
d. ⅙
17. Mr. Dasgupta had 144 kg of red and green beans.
25% of the beans were red. He bought some more red
beans and the percentage of red beans increased to
M B of red beans
E F did he buy? RIDG
A
40%. How many kilograms
C A
a. 36
AL

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b. 54
OR
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c. 72
OLYMP
d. 108
18. The congruent trapezoids below are joined together
R

to form a closed ring.

E

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A
N

D
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U SIS W A
Find the number of trapezoid so that it can form a
closed ring
a. 12
b. 16
c. 18
d. 20
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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19. Mega contributes $15 per month to a charity, and

Johan contributes $12 per month. How many more
dollars will Mega contribute in 3 ⅓ years?
a. 115
b. 120
c. 130
d. 150
MBRIDGE F
20. If CA
and , A
What is the value of ?
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OR
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a. 16
b. 25
OLYMP

c. 36
d. 49
ER

21. What is the slope of a line perpendicular to the line

I
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A
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through (4,3) and (7,-5)?

D
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Express your answer as a common fraction. ED

a. 1/3 U SIS W A
b. 2/7
c. 4/5
d. 3/8
22. The supplement of an angle is three times its
complement. What is the number of degrees in the
measure of the angle?
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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a. 25 degree
b. 30 degree
c. 45 degree
d. 60 degree
23. In the diagram, the two triangles shown have
parallel bases. What is the ratio of the area of the
smaller triangle to the area IDthe larger triangle?
Rof MB GE
FA
CA
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OR
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OLYMP

a. 2:5
b. 1:5
ER

c. 4:10
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A
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d. 4:25
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ED
24. What is the number of square centimeters in the
surface area of a cube whose edge measures 3 cm? U SIS W A
 CA
MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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a. 54 square centimeter
b. 63 square centimeter
c. 72 square centimeter
d. 81 square centimeter
25. If altitude CD is centimeters, what is the number
of square centimeter is the area of ABC?

MBRIDGE F
CA A
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OR
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Give your answer as a decimal to the nearest tenth.

OLYMP

a. 2.1 cm
b. 2.5 cm
ER

c. 3.8 cm
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A
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d. 3.5 cm
D
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26. Point A(2,3), in a two-dimensional coordinateED

U SIS W A
system, is translated six units to the right and eight units
down. What is the product of the coordinates of the
point after it is translated?
a. -50
b. -40
c. -30
d. -20
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MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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27. If 40 people can put together 600 bookshelves in two

hours, how many bookshelves can 75 people put
together in two hours?
a. 1125
b. 1255
c. 1355

MBRIDGE F
d. 1235
CA shows a rectangle
28. The given diagram
A ABCD being
AL

CT
folded along a straight segment AE with E on CD, so that OR
NATION

the new position of D is on AB. Triangle ADE is then

OLYMP
folded along DE so that the new position of A is on the
extension of DB. The new position of AE intersects BC at
R

F. If AB = 10 centimeters and AD = 6 centimeters.

E

I
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A
N

D
I

ED
U SIS W A

What is the area of triangle ABF, in square centimeters?

a. 2
b. 4
c. 6
d. 8
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MBRIDGE FA INTERNATIONAL CAMBRIDGE FACTOR OLYMPIAD MATHEMATIC PRACTICE PAPER GRADE 9
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29. As in the figure below, E is the intersection of the two

diagonals of the parallelogram ABCD. Suppose the
coordinates of point C is (a, b)

Find a+b
a. -3
MBRIDGE F
b. -2 CA A
c. 3
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OR
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d. 4
30. Find the area of the isosceles trapezoid in square
OLYMP

feet.
ER

I
T

A
N

D
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a. 27 √10 ED
b. 30 √10 U SIS W A
c. 32 √10
d. 33
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ANSWER KEY

1. A
2. C
3. A
4. B
5. A
6. A
7. C

BRIDGE F
8. A
M
CA A
9. B
10. A
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11. A
CT
12. B
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13. B
OLYMP
14. C
15. A
16. A
R

17. A
E

18. C
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19. B
D
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20. B
ED
U SIS W A
21. D
22. C
23. D
24. A
25. D
26. B
27. A
28. A
29. B
30. B