Free Printable Grade 8 Math Competition- Round 1

1.

Simplify 7 − −3

a)

10

b)

4

c)

-4

d)

-10

2.

Work out 9²

a)

81

b)

18

c)

-3

d)

3

3.

Work out 2 + 3 × 5

a)

17

b)

25

c)

11

d)

30

4.

Simplify 7 ⁴ × 7× 7 ³

a)

can't be simplified

b)

7⁷

c)

7⁸

d)

7¹²

5.

Find the highest common factor of 30 and 12

a)

6

b)

2

c)

3

d)

12

6.

The number of 3-digit numbers divisible by 6, is …………..

a)

149

b)

166

c)

150

d)

161

7.

The simplest form of 1.5 : 2.5 is ….

a)

6 : 10

b)

15 : 25

c)

0.75 : 1.25

d)

3 : 5

8.

what is 1004 divided by 2?

a)

52

b)

502

c)

520

d)

5002

9.

Evaluation of 8³ × 8² × 8^-5 is

a)

1

b)

0

c)

8

d)

None of these

10.

4505 ÷ 5 =.

a)

109

b)

190

c)

910

d)

901

11.

Simplify 15¹⁵ ÷ 15⁵

a)

1¹⁰

b)

15¹⁰

c)

15³

d)

1³

12.

To convert mm³ into cm³ you

a)

multiply by 10

b)

multiply by 1000

c)

divide by 1000

d)

divide by 10

13.

a × a × a × a × a × a is

a)

a × 6

b)

6a

c)

a⁶

d)

(a×)⁶

14.

The perimeter of this shape is

a)

46x

b)

130x

c)

130x²

d)

23x

15.

120 g = ........kg

a)

120 000 kg

b)

0.12 kg

c)

0.012 kg

d)

1.2 kg

16.

21 351 rounded to the nearest 100 is

a)

214

b)

21 300

c)

21 350

d)

21 400

17.

1 000 000 000 is

a)

10 000²

b)

10⁸

c)

100³

d)

10⁹

18.

Round 48 980 to 2 significant figures

a)

49

b)

49000

c)

50 000

d)

48 000

19.

3(2p − 5) =

a)

6p − 5

b)

6p + 15

c)

5p − 2

d)

6p − 15

20.

Solve 8x − 5 > 6x − 13

a)

x = -4

b)

x > 4

c)

x < 4

d)

x > -4

21.

Find angle x.

a)

250°

b)

80°

c)

70°

d)

110°

22.

The first 5 terms of the sequence with the position-to-term rule add 4 are

a)

1, 5, 9, 13, 17

b)

5, 9, 13, 17, 21

c)

5, 6, 7, 8, 9

d)

4, 8, 12, 16, 20

23.

Rearrange 4y + 12x = 8 to make y the subject

a)

y = 2 − 12x

b)

y = 2 − 3x

c)

y = 3x + 2

d)

y = 8 − 3x

24.

The simultaneous equations

3x + 2y = 31

⁻x + y = ⁻2

are shown on the graph. The solution is

a)

x = 7, y = 5

b)

x = 5, y = 7

c)

7

d)

x = 7

25.

Simplify 5x⁴ × 3x⁵ × 2x

a)

10x²⁰

b)

30x⁹

c)

30x²⁰

d)

30x¹⁰

26.

What is the selling price of a $400 television if a sales tax of 20% is charged?

a)

$480

b)

$320

c)

$333.33

d)

$80

27.

What is the decimal equivalent of 6.3 %

a)

0.063

b)

63

c)

6.3

d)

0.63

28.

One letter is chosen at random from the word ALGEBRA. What is the probability that it is an A?

a)

2/7

b)

2/5

c)

1/3

d)

1/6

29.

What is the LCM of 5 and 17?

a)

75

b)

85

c)

5

d)

3

30.

How many factors are there in 71?

a)

0

b)

1

c)

2

d)

none of these

31.

The first 5 terms of the sequence with the position-to-term rule add 4 are

a)

1, 5, 9, 13, 17

b)

5, 9, 13, 17, 21

c)

5, 6, 7, 8, 9

d)

4, 8, 12, 16, 20

32.

One letter is chosen at random from the word ALGEBRA. What is the probability that it is an A?

a)

1/7

b)

1/6

c)

2/7

d)

2/5

33.

If the probability of rain in Jeddah tomorrow is 73%, what is the probability that it will not rain?

a)

27%

b)

37%

c)

27/73

d)

50%

34.

If 25 tickets cost $170, what do 8 tickets cost?

a)

$54.40

b)

$531.25

c)

$6.80

d)

$1360

35.

The third term of a sequence is 5, the term-to-term rule is add 7. What is the first term in the sequence?

a)

12

b)

-2

c)

19

d)

-9

36.

What is ?

\frac{1}{5}+\frac{2}{3}

a)

3 / 8

b)

12 / 53

c)

13/15

d)

12/15

37.

Using F = ma, find m when F = 12 and a = 4

a)

3

b)

48

c)

16

d)

8

38.

The inverse of f(x) = 4(x − 3) is

a)

4(x − 3)

b)

4x − 12

c)

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

d)

$\frac{x+12}{4}$

39.

How many sides are there in a nonagon?

a)

3

b)

5

c)

7

d)

9

40.

What kind of number is 37?

a)

odd

b)

prime

c)

Both a and b.

d)

None of these.

Grade 8 Math Competition- Round 1

Total questions: 40

Worksheet time: 20mins

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