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Mathematic review Grade 8

Total questions: 38

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Which of the following is the correct series for Fibonacci number?

a)

0,1,1,2,3,5,8,13

b)

0,1,2,3,5,8,13

c)

0,1,1,3,5,8,13

d)

0,1,1,2,3,5,7,13

2.

Which of the following is not an example of irrational number?

a)

√2

b)

√16

c)

Pi

d)

Phi

3.

 10−2×10−2 = ?10^{-2}×10^{-2}\ =\ ?  

a)

0.01

b)

0.001

c)

0.1

d)

0.0001

4.

Which of the following is the correct scientific notation of 3406? 

a)

 34.06×10−334.06×10^{-3}  

b)

 34.06×10334.06×10^3  

c)

 3.406×1033.406×10^3  

d)

 3.406×10−33.406×10^{-3}  

5.

Which of the following numbers are perfect square?

a)

100

b)

400

c)

50

d)

82

6.

  120 =?\ \sqrt{120\ }=?  

a)

9.32

b)

7.48

c)

10.95

d)

12.01

7.

There is a total of 27 people. The ratio of those who chose football to those who chose archery is 4 : 5. How many chose football?

a)

12

b)

13

c)

15

d)

9

8.

45% of 40 students chose archery. How many students chose archery in that group?

a)

20

b)

15

c)

40

d)

18

9.

Which is the equivalent ratio of 12:15 ?

a)

3:4

b)

5:4

c)

8:10

d)

2:3

10.

20% of 50 = ?

a)

10

b)

8

c)

20

d)

15

11.

20 is 25% of x. Find x.

a)

50

b)

100

c)

60

d)

80

12.

A cyclist burns about 300 calories of energy cycling for 30 min.

a) How many calories does the cyclist burn in 50 min?

b) How long does the cyclist have to cycle to burn 1000 calories?

a)

a) cyclist burns 500 calories in 50 min

b) 100 min to burn 1000 calories.

b)

a) cyclist burns 400 calories in 50 min

b) 200 min to burn 1000 calories.

c)

a) cyclist burns 500 calories in 50 min

b) 50 min to burn 1000 calories.

d)

a) cyclist burns 250 calories in 50 min

b) 100 min to burn 1000 calories.

13.

The ratio of the number of people standing to the number of people sitting in a bus is 3 : 13. If 9 people are standing, how many are sitting?

a)

18

b)

22

c)

16

d)

48

14.

Karma has read 30% of a book. She has read 72 pages. How many pages are there in the book?

a)

240 Pages

b)

300 Pages

c)

216 Pages

d)

200 Pages

15.

A school has 120 students. 55% of the students are girls.

a) How many are girls are there?

b) How many boys are there?

c) What percent are boys?

a)

a) 54 girls

b) 66 boys

c) 55% are boys

b)

a) 60 girls

b) 54 boys

c) 45% are boys

c)

a) 66 girls

b) 50 boys

c) 100% are boys

d)

a) 66 girls

b) 54 boys

c) 45% are boys

16.

There were 12 children at a party. Of those 12 children 3/4 of them had an apple. How many children had an apple?

a)

3

b)

9

c)

10

d)

6

17.

Calculate the percentage loss if an item is bought for Nu. 400 and sold for Nu. 364.

a)

9%

b)

36

c)

9

d)

36%

18.

The oldest man in the world is 110 years old. If his younger brother is 9/10 of his age, how old is his younger brother?

a)

100

b)

99

c)

98

d)

97

19.

Sonam gets Nu. 50 pocket money per week. If he spends 2/5 of it on sweets and 3/10 of it on toys and saves the rest, how much will he have saved after 4 weeks?

a)

15

b)

30

c)

25

d)

60

20.

Solve

a)

-15

b)

1

c)

-17

d)

-23

21.

Solve

a)

-12

b)

-84

c)

29.14

d)

+12

22.

A toy that regularly sells for Nu 250 is on sale for Nu 225. What is the percent discount?

a)

25%

b)

10%

c)

90%

d)

50%

23.

In what time will Nu. 600 amount to Nu. 768 if the simple interest is the calculated at 14% p.a.?

a)

1.5 years

b)

3 years

c)

2 years

d)

2.6 years

24.

At what rate per cent per annum will Nu. 4000 amounted to Nu. 5600 in 4 years?

a)

10% rate

b)

12% rate

c)

8% rate

d)

20% rate

25.

Tshering borrows Nu. 1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

150

b)

192

c)

1350

d)

1392

26.

Choose the correct scientific notation of 5048.4

a)

5.0484 × 103

b)

5.0484 × 102

c)

0.50484 × 103

d)

5048.4 × 10-3

27.

Formula for Area of a Circle

a)

 2πr2\pi r  

b)

 πr3\pi r^3  

c)

 2πr22\pi r^2  

d)

 πr2\pi r^2  

28.

Find the area of the Shaded portion.

a)

50 cm2

b)

80 cm

c)

30 cm2

d)

50 cm

29.

Find the total area.

a)

15 cm2

b)

30 cm2

c)

15 cm

d)

30 cm

30.

Area of a circle is 25π. Find the radius (r).

a)

10

b)

12.5

c)

5

d)

4

31.

There are two numbers whose sum is 72. One number is twice the other. What are the numbers?

a)

14 and 58

b)

34 and 38

c)

19 and 43

d)

24 and 48

32.

The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?

a)

31 and 53

b)

26 and 58

c)

16 and 68

d)

36 and 48

33.

A class of 50 students is divided into two groups; one group has eight less than the other; how many are in each group?

a)

21 and 29

b)

20 and 30

c)

17 and 33

d)

15 and 35

34.

Hypotenus = 14 cm, Perpendicular = 12 cm and Base = 9 cm


Does these measurement make a right angle triangle?

a)

Yes

b)

No

35.

Find the missing value?

a)

Approximately 13

b)

Approximately 10

c)

Approximately 16

d)

Approximately 12

36.

Yangchen marched 3 m east and 6 m north. How far is he from his starting point?

a)

6.71 m

b)

8.23 m

c)

5.42 m

d)

9 m

37.

In the following diagram of a circle, O is the centre and the radius is 12 cm. AB and EF are straight lines.

Find the length of EF if the length of OP is 6 cm.

a)

12 cm

b)

20.78 cm

c)

12.04 cm

d)

18 cm

38.

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?

a)

12 feet

b)

20 feet

c)

18 feet

d)

28 feet