Free Printable Grade 8 - Diagnostic Test

1.

What is the area of a rectangular lot whose length is 26.1 cm and width is 8.4cm?

a)

219.24 cm

b)

219. 24 sq. cm

c)

219.24 cu. cm

d)

219.24

2.

The area of a square whose dimension is $\frac{15}{12}$ mm.

a)

$5\ mm^2$

b)

$\frac{1}{5}mm^2$

c)

$\frac{25}{16}\ mm^2$

d)

$\frac{5}{4}mm^2$

3.

What is the perimeter of a triangle whose sides measures $\frac{6}{7}\ mm$ , $\frac{3}{4}mm$ and $\frac{1}{2}mm$ ?

a)

$\frac{59}{14}mm$

b)

$\frac{59}{28}mm$

c)

$\frac{25}{14}mm$

d)

$\frac{25}{28}mm$

4.

Solve 8 + 4(2)² – 4

a)

44

b)

24

c)

14

d)

20

5.

9 – 1(-4) – 8

a)

5

b)

-12

c)

-40

d)

-3

6.

-8 + 2(-4) + 7

a)

-9

b)

31

c)

7

d)

-3

7.

(3 – 5² + 8 ) – $\frac{\left(3\cdot4^2\right)}{2}$

a)

-86

b)

79.5

c)

-105

d)

13.5

8.

7 + 3³ – 4 $\div$ 5

a)

$33.2$

b)

$\frac{174}{5}$

c)

$33\frac{2}{5}$

d)

$33.5$

9.

7 – (5² – 28) + 4

a)

14

b)

9

c)

30

d)

-7

10.

2.5 – $\frac{3^2}{10}$

a)

1.6

b)

6.5

c)

$-\frac{16}{10}$

d)

$\frac{8}{5}$

11.

(-4 + 3)² – (-3) $\cdot\ \frac{8}{9}$

a)

$-\frac{32}{9}$

b)

$-\frac{8}{3}$

c)

$\frac{11}{3}$

d)

$\frac{7}{3}$

12.

Simplify x³ $\cdot$ x⁵

a)

$x^{15}$

b)

$x^8$

c)

$x^2$

d)

$x^{\frac{3}{5}}$

13.

(7x³ )( -3x)

a)

-21x⁴

b)

-21x³

c)

4x⁴

d)

4x²

14.

$a^{-3}$

a)

$\frac{a}{3}$

b)

$\frac{1}{a^3}$

c)

$\frac{3}{a}$

d)

$a^3$

15.

$5x^0$

a)

0

b)

1

c)

5

d)

x

16.

$\frac{m^5}{m^3}$

a)

$m^2$

b)

$\frac{1}{m^2}$

c)

$m^{15}$

d)

$\frac{1}{m^{15}}$

17.

(a²b³)²

a)

a⁴b⁶

b)

a⁴b⁵

c)

a⁴b⁹

d)

a²b³

18.

-14x² +3x² – 6x²

a)

-17x²

b)

-23x³

c)

-17x⁶

d)

11x²

19.

3x (4 - 2x)

a)

12x – 6x²

b)

6x²

c)

12x – 6x

d)

-12x + 6x

20.

(4x – 7y ) + (3x² – 8y)

a)

7x² -15y

b)

7x³ -15y²

c)

3x² + 4x – 15y

d)

7x² – y

21.

(x – 4)(2x + 5)

a)

2x² – 3x – 20

b)

2x² – 8x – 20

c)

2x² + 11x – 20

d)

2x² – 9x – 20

22.

(2x -5) (3x- 1)

a)

6x² -17x – 5

b)

6x²-13x – 5

c)

6x² –8x – 5

d)

6x² + 13x -5

23.

(7x – 2y)(x + 3)

a)

7x² – 2xy + 21x – 6y

b)

7x – 2xy – 6y

c)

7x² – 19x²y – 6y

d)

7x² – 21x -2xy – 6y

24.

What is the degree of the given expression 4x⁵ + 7x²y⁴ – 18 ?

a)

5

b)

11

c)

4

d)

6

25.

What is the numerical coefficient of 15x³y²?

a)

3 & 2

b)

15

c)

3

d)

2

26.

What is the value of x in 4x – 5 = 12x + 3

a)

1

b)

-1

c)

12

d)

-12

27.

In $\frac{2x\ +5}{5}$ = 2x, the value of x is _ .

a)

- $\frac{8}{5}$

b)

$-\frac{5}{8}$

c)

$\frac{8}{5}$

d)

$\frac{5}{8}$

28.

The value of a in 2a + 6 = 3a – 7

a)

13

b)

1

c)

-1

d)

-13

29.

Solve - 2x (3xy – y).

a)

-6x²y + 2xy

b)

6xy + 2xy

c)

-4xy

d)

-5x² – 2

30.

-7x² – 4x + 8 – 11xy + 3y

a)

-11x³ - 8xy + 8

b)

-7x² – 11xy -4x + y + 8

c)

5xy + 8

d)

-7x² – 12xy + 8

Grade 8 - Diagnostic Test

Total questions: 30

Worksheet time: 58mins

Similar Resources on Wayground