Free Printable DIAGNOSTIC TEST , GRADE IX

1.

Solve $\frac{5}{63}-\left(-\frac{6}{21}\right)$

a)

23/63

b)

11/84

c)

-1/42

d)

1/23

2.

Complementary means sum of two angles is

(a)

3.

Green arrow represents number

a)

-3/4

b)

7/4

c)

-7/4

d)

3/4

4.

$\frac{y-5}{3}=\frac{y-3}{5}$

a)

16

b)

8

c)

2

d)

1

5.

Solve 3(t – 3) = 5(2t + 1)

a)

9

b)

-3

c)

14

d)

-2

6.

Which one is perfect square

a)

2210

b)

729

c)

64000

d)

222222

7.

Find the square root of 1764

a)

42

b)

72

c)

48

d)

56

8.

Find $\sqrt[3]{1000000000}$

a)

100

b)

1

c)

$10000\sqrt[3]{10}$

d)

1000

9.

A quadrilateral window frame has one of its diagonals longer than the other. What could be the shape of this window frame?

a)

Rectangle

b)

Rhombus

c)

Square

d)

All of these

10.

Find the volume

a)

8

b)

54

c)

72

d)

144

11.

Find perimeter

a)

15

b)

30

c)

22

d)

26

12.

Which of the following is/are like terms?

a)

xyz , -9zyx

b)

x , $7x^2$

c)

xy , yz

d)

$-3x^2\ \ ,\ \ \ 7x^2$

13.

Simplify : $\left(3x^2-8x\right)+\left(4x^2+y\right)$

a)

$7x^2$

b)

$7x^2-8x+y$

c)

$-x^2+y$

d)

$-x^2+x+y$

14.

Which of the following will be the area of a square which has a side of length $\left(y+1\right)^{ }$ ?

a)

4y+4

b)

$y^2+2y+1$

c)

$y^2+1$

d)

2y+2

15.

Add : a – b + ab , b – c + bc , c – a + ac

a)

ab-bc-ca

b)

a-b+c

c)

-b+bc+ac

d)

ab + bc + ca

16.

Obtain the product of

xy, yz, zx

a)

$x^2y^2z^2$

b)

xyz

c)

xy+yz+zx

d)

$x^2yz^2$

17.

Find the common factors of the given terms.

10 pq, 20qr, 30 rp

a)

10p

b)

10

c)

$6000p^2q^2r^2$

d)

60pqr

18.

Divide : $\frac{7x^6}{x^2}$

a)

$7x^8$

b)

$x^4$

c)

$7x^4$

d)

$7x^{-4}$

19.

The following graph shows the temperature of a patient in a hospital, recorded every hour.

What was the patient’s temperature at 1 p.m.?

a)

36.5

b)

36

c)

35

d)

37

20.

From the graph of question 19 : When was the patient’s temperature 38.5° C?

a)

1p.m

b)

11a.m

c)

12noon.

d)

2p.m

DIAGNOSTIC TEST , GRADE IX

Total questions: 20

Worksheet time: 20mins

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