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Mathematics Challenge for Grade 9

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Identify whether 3/4 is a rational number.

a)

3/4 is a whole number.

b)

3/4 is an irrational number.

c)

Yes, 3/4 is a rational number.

d)

3/4 cannot be expressed as a fraction.

2.

Which of the following is a rational number: √2, 0.75, π?

a)

1.5

b)

0.75

c)

-3

d)

√3

3.

Apply the exponent rule: Simplify (2^3) * (2^2).

a)

16

b)

24

c)

32

d)

10

4.

What is the value of 5^0?

a)

0

b)

1

c)

5

d)

10

5.

Simplify the expression: (x^2)^3.

a)

x^6

b)

x^9

c)

x^3

d)

x^5

6.

Calculate 20% of 150.

a)

35

b)

40

c)

30

d)

25

7.

If a shirt costs $40 and is on sale for $30, what is the percentage discount?

a)

15%

b)

30%

c)

40%

d)

25%

8.

A car is bought for $20,000 and sold for $18,000. What is the loss in dollars?

a)

3000

b)

2500

c)

2000

d)

1500

9.

If a product is sold for $120 with a profit of $30, what was the cost price?

a)

$90

b)

$70

c)

$80

d)

$100

10.

Simplify the expression: 3x + 4x - 2x.

a)

x

b)

5x

c)

6x

d)

3x + 2x

11.

Identify the rational number among the following: -1, 0, 1/3, √5.

a)

-1, 0, 1/3

b)

2/3

c)

-√5

d)

3.14

12.

What is the value of 2^4 - 2^2?

a)

12

b)

8

c)

16

d)

4

13.

If a student scores 45 out of 60 in a test, what is the percentage score?

a)

65%

b)

70%

c)

75%

d)

80%

14.

A laptop is bought for $800 and sold for $720. What is the percentage loss?

a)

10%

b)

15%

c)

5%

d)

20%

15.

If 3x + 5 = 20, what is the value of x?

a)

10

b)

5

c)

7

d)

3

16.

Simplify: 4(a + 2) - 3a.

a)

3a + 4

b)

4a + 2

c)

a + 8

d)

a + 2

17.

Which of the following is not a rational number: 0.333..., -2, √9, √3?

a)

0.25

b)

-√4

c)

1.5

d)

√3

18.

Calculate 15% of 200.

a)

30

b)

40

c)

25

d)

50

19.

If a bicycle is bought for $150 and sold for $180, what is the profit percentage?

a)

20%

b)

30%

c)

25%

d)

15%

20.

Simplify the expression: 2(x + 3) + 4(x - 1).

a)

2x + 6

b)

4x + 10

c)

6x + 2

d)

8x - 2