Free Printable Grade8 revision

1.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

2.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

3.

Simplify: $\left(y^7\right)^2$

a)

$y^{14}$

b)

$y^{49}$

c)

$y^5$

d)

$y^9$

4.

Simplify: $\left(3h^2\right)^3$

a)

$27h^6$

b)

$27h^5$

c)

$9h^6$

d)

$9h^5$

5.

Match the following:

a)

$2x^2\times4x^3$

1.

$8x^5$

b)

$\left(2x^2\right)^3$

2.

$8x^6$

c)

$12x^8\div2x^3$

3.

$6x^5$

d)

$6x^0\times x^6$

4.

$6x^6$

e)

$\frac{10}{x^{-5}}$

5.

$10x^5$

6.

Which expression is equivalent to $\frac{15x^7y^2}{3x^4y^3}$ ?

a)

$5x^3y$

b)

$12x^3y$

c)

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

d)

$\frac{12x^3}{y}$

7.

Which expression represents the product of $\left(2x^2y^2\right)\left(3x^3y^3\right)$ ?

a)

$6x^6y^6$

b)

$5x^5y^5$

c)

$5x^6y^6$

d)

$6x^5y^5$

8.

Simplify: $4x^5\cdot6x^{10}$

a)

$24x^{15}$

b)

$10x^{15}$

c)

$\sqrt{24x^{15}}$

d)

$\sqrt{10x^{15}}$

9.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

10.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

11.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

12.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

13.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

14.

a)

6x+6

b)

5x+18

c)

6x+12

d)

6x+18

15.

2(4 + 9w)

a)

6+9w

b)

8+2w

c)

4+9w

d)

8+18w

16.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

17.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

18.

Factor completely.

a)

$\left(p+1\right)\left(p+2\right)$

b)

$\left(p+1\right)\left(p-2\right)$

c)

$2\left(p-1\right)\left(p-6\right)$

d)

$\left(p+6\right)\left(p-8\right)$

19.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

20.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

21.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

22.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

23.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

24.

(x - 5)(x + 1)

a)

x² - 4x - 5

b)

x² + 6x - 5

c)

x² - 5x - 4

d)

x² - 4x - 4

25.

(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

26.

Write the sum in simplest form.

\frac{2}{5}\ +\ \frac{2}{5}

a)

$\frac{4}{10}$

b)

$\frac{0}{5}$

c)

$\frac{4}{5}$

d)

$\frac{1}{5}$

27.

Write the sum in simplest form.

\frac{5}{8}\ +\ \frac{2}{8}

a)

$\frac{10}{16}$

b)

$\frac{7}{8}$

c)

$\frac{6}{8}$

d)

$\frac{3}{4}$

28.

Write the sum in simplest form.

\frac{7}{10}\ +\ \frac{3}{10}

a)

$\frac{10}{10}$

b)

$\frac{5}{5}$

c)

$\frac{2}{2}$

d)

$1$

29.

Write the sum in simplest form.

\frac{1}{4}\ +\ \frac{2}{4}

a)

$\frac{3}{4}$

b)

$\frac{1}{4}$

c)

$\frac{2}{4}$

d)

$\frac{1}{2}$

30.

Write the sum in simplest form.

\frac{3}{8}\ +\ \frac{1}{8}

a)

$\frac{2}{4}$

b)

$\frac{1}{2}$

c)

$\frac{4}{8}$

d)

$\frac{1}{6}$

31.

Multiply the following fractions

a)

$\frac{1}{21}$

b)

$\frac{2}{21}$

c)

$\frac{1}{6}$

d)

$\frac{7}{21}$

32.

$\frac{5}{11}\times\frac{6}{7}$

a)

$\frac{11}{77}$

b)

$\frac{20}{77}$

c)

$\frac{20}{30}$

d)

$\frac{30}{77}$

33.

$\frac{5}{10}\times\frac{3}{5}$

a)

$\frac{3}{10}$

b)

$\frac{5}{15}$

c)

$\frac{1}{2}$

d)

$\frac{10}{15}$

34.

$\frac{5}{6}\div\frac{1}{2}=$

a)

$\frac{12}{10}$

b)

$\frac{5}{12}$

c)

$\frac{5}{3}$

d)

$\frac{5}{12}$

35.

$\frac{20af}{4a}$

a)

5a

b)

5f

c)

4a

d)

4f

36.

$\frac{20af}{4a}$

a)

5a

b)

5f

c)

4a

d)

4f

37.

$\frac{12abc}{4ab}$

a)

3a

b)

3b

c)

3ab

d)

3c

38.

$\frac{45xyz}{45y}$

a)

0

b)

xyz

c)

yz

d)

xz

39.

$\frac{abcdf}{bdf}$

a)

ad

b)

af

c)

ac

d)

a

40.

$\frac{b^2}{b}$

a)

2b

b)

b

c)

3b

d)

b(b)

41.

$\frac{6}{x^2}\times\frac{x^3}{3}$

a)

4x

b)

2/x

c)

2x

d)

$\frac{6}{x^2}$

42.

$\frac{5y}{4}\times\frac{4}{15y}$

a)

$\frac{4}{3y}$

b)

$\frac{1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{4y}{3}$

43.

$\frac{a}{b}\times\frac{b}{c}\times\frac{c}{d}$

a)

$\frac{a}{b}$

b)

$\frac{b}{c}$

c)

$\frac{c}{d}$

d)

$\frac{a}{d}$

44.

$\frac{4}{x^2}\times\frac{7x}{8}$

a)

$\frac{7}{2x}$

b)

$\frac{2}{7x}$

c)

$\frac{13}{4x}$

d)

$\frac{2}{3x}$

45.

$\left(\frac{a}{6}\right)^2$

a)

$\frac{a^2}{12}$

b)

$\frac{a}{12}$

c)

$\frac{a^2}{6}$

d)

$\frac{a^2}{36}$

46.

$\frac{2x}{5\ }+\frac{3x}{4}$

a)

$\frac{23x}{15}$

b)

$\frac{23x}{20}$

c)

$\frac{5x}{20}$

d)

$\frac{23x^{\ 2}}{20}$

47.

Simplify:

\frac{x}{2}-\frac{x}{8}

a)

$\frac{4x}{16}$

b)

$\frac{3x}{8}$

c)

$\frac{5x}{8}$

d)

$\frac{2x}{6}$

48.

Match it up with your magic skills

a)

Brazil

b)

Argentina

c)

Peru

d)

Colombia

1

2

3

4

1)

2)

3)

4)

49.

Match your face up

a)

Atlantic Ocean

b)

Pacific Ocean

c)

Cuba

d)

Panama

e)

USA

f)

Canada

g)

Mexico

h)

Greenland

1

2

3

4

5

6

7

8

1)

2)

3)

4)

5)

6)

7)

8)

50.

Match the following

a)

1.

Blue Whale

b)

2.

Fish

c)

3.

Crab

d)

4.

Pelican

e)

5.

Tortoise

51.

Match the following

a)

1.

Banana Face

b)

2.

Cactus Face

c)

3.

Mouse-Turtle

d)

4.

Cat-Snail

e)

5.

Scorpion Face

52.

Organize these options into the right categories

Categorize the following

30°

15°

45°

60°

75°

100°

120°

135°

150°

180°

Iguana

Chameleon

Crocodile

Gecko

Python

Beijing

Shanghai

Xian

Qingdao

Guangzhou

Angles Less than 90°

Angles more than 90°

Reptiles

Chinese Cities

53.

Match the following equivalent fractions

a)

$\frac{5}{25}$

1.

$\frac{1}{5}$

b)

$\frac{10}{15}$

2.

$\frac{2}{3}$

c)

$\frac{3}{12}$

3.

$\frac{1}{4}$

d)

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

4.

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

e)

$\frac{x^8}{x^{12}}$

5.

$\frac{1}{x^4}$

54.

Match the following

a)

$\frac{1}{5}+\frac{3}{5}$

1.

$\frac{4}{5}$

b)

$\frac{1}{5}-\frac{3}{5}$

2.

$-\frac{2}{5}$

c)

$\frac{1}{5}\times\frac{3}{5}$

3.

$\frac{3}{25}$

d)

$\frac{1}{5}\div\frac{3}{5}$

4.

$\frac{1}{3}$

e)

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

5.

$\frac{4x}{5}$

55.

Match the following

a)

$\frac{3}{4}+\frac{1}{4}$

1.

1

b)

$\frac{3}{4}-\frac{1}{4}$

2.

$\frac{1}{2}$

c)

$\frac{3}{4}\times\frac{1}{4}$

3.

$\frac{3}{16}$

d)

$\frac{3}{4}\div\frac{1}{4}$

4.

$3$

e)

$\frac{x}{4}+\frac{3x}{4}$

5.

$x$

56.

Match the following

a)

$\frac{7}{8}+\frac{3}{8}$

1.

$\frac{10}{8}$

b)

$\frac{7}{8}-\frac{3}{8}$

2.

$\frac{1}{2}$

c)

$\frac{7}{8}\times\frac{3}{8}$

3.

$\frac{21}{64}$

d)

$\frac{7}{8}\div\frac{3}{8}$

4.

$\frac{7}{3}$

e)

$\frac{7}{x}+\frac{3}{x}$

5.

$\frac{10}{x}$

57.

Match the following

a)

07:30

1.

7:30am

b)

19:30

2.

7:30pm

c)

17:30

3.

5:30pm

d)

05:30

4.

5:30am

e)

15:30

5.

3:30pm

58.

Label the chef!

a)

Bag

b)

Hat

c)

Chicken

d)

Mousache

1

2

3

4

1)

2)

3)

4)

59.

Étiquetez le chef!

a)

Sac

b)

Chapeau

c)

Poulet

d)

Moustache

1

2

3

4

1)

2)

3)

4)

60.

Label the stuff!

a)Rhino

b)Sheep

c)Crocodile

d)Gerald

1

2

3

4

1)

2)

3)

4)

61.

Match the following

a)

1.

Bat Woman

b)

2.

Bat

c)

3.

Batman

d)

4.

Ulan Bator

e)

5.

Baseball Bat

62.

Match the following

a)

1.

Horse

b)

2.

Donkey

c)

3.

Chinchilla

d)

4.

Rabbit

e)

5.

Hare

63.

Organize these options into the right categories

Categorize the following

Polygon

Chicken

Turtle

64.

Etiqueta el caballo

a)Atrás

b)Cabeza

c)Piernas

d)orejas

1

2

3

4

1)

2)

3)

4)

65.

Match the following

a)

1.

Alien

b)

2.

Anteater

c)

3.

Armadillo

d)

4.

Calf

e)

5.

Buffalo

66.

Match the following

a)

1.

Tiger

b)

2.

Bear

c)

3.

Buffalo

d)

4.

Cheese

e)

5.

Lemur

67.

Match the following

a)

1.

Tortoise

b)

2.

Giraffe

c)

3.

Puffin

d)

4.

Squid

e)

5.

Gorilla

68.

This shape is a ___________.

a)

quadrilateral

b)

triangle

c)

hexagon

d)

pentagon

69.

This shape is a ___________.

a)

quadrilateral

b)

triangle

c)

hexagon

d)

pentagon

70.

This shape is a ___________.

a)

quadrilateral

b)

triangle

c)

hexagon

d)

pentagon

71.

This shape is a ___________.

a)

quadrilateral

b)

triangle

c)

hexagon

d)

pentagon

72.

Name the polygon.

a)

Hexagon

b)

Heptagon

c)

Octagon

d)

Decagon

73.

How many sides does a decagon have?

a)

10

b)

9

c)

8

d)

7

74.

What is the name of this shape?

a)

circle

b)

hexagon

c)

square

d)

triangle

75.

What is the name of this shape?

a)

hexagon

b)

rectangle

c)

triangle

d)

trapezoid

76.

What is the name of this shape?

a)

circle

b)

hexagon

c)

pentagon

d)

square

77.

What is the name of this shape?

a)

pentagon

b)

square

c)

rectangle

d)

triangle

78.

What is the name of this shape?

a)

circle

b)

hexagon

c)

pentagon

d)

rectangle

79.

What shape has 3 sides?

a)

circle

b)

square

c)

hexagon

d)

triangle

80.

What shape has 4 equal sides?

a)

circle

b)

hexagon

c)

square

d)

trapezoid

81.

Name the shape

a)

circle

b)

square

c)

octagon

d)

pentagon

Grade8 revision

Total questions: 81

Worksheet time: 2hrs 14mins

Similar Resources on Wayground