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Worksheets

MATHEMATICS

Total questions: 100

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Ramesh scored 4,6,9,8,3 in 5 subjects whereas James scored 5,3,7,9,1 in 5 subjects . Find the average, whose performance is better?

a)

Ramesh

b)

James

2.

The average marks of 13 papers is 40. The average marks of the first 7 papers are 42 and that of the last seven papers is 35. Find the marks obtained in the 7th paper.

A. 23

B. 38

C. 19

D. 57

a)

19

b)

25

c)

84

d)

34

3.

The average of first five multiples of 3 is:

A.8

B.9

C.10

D.11

a)

A.8

b)

B.9

c)

C.10

d)

D.11

4.

The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4?

A.72

B.74

C.70

D.76

a)

A.72

b)

B.74

c)

C.70

d)

D.76

5.

The formula of average is _______

a)

difference of quantities divided by no. of quantities

b)

product of quantities divided by no. of quantities

c)

sum of quantities divided by no. of quantities

d)

None of the above

6.

Mandy earns money by delivering groceries. She earned $4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on Thursday, and $5 on Friday. What is the average amount of money Mandy earned per day?

a)

3

b)

4

c)

5

d)

6

7.

Clayton plays basketball on a team. He has played three games so far. In the first game, he scored 10 points. In the second game, he scored 14 points. In the third game, he scored 6 points. What is Clayton’s average points per game?

a)

10

b)

11

c)

12

d)

13

8.

Jean loves to go bird watching. One day, she saw 7 birds. The next day, she saw 11 birds. The next day, she saw no birds. What is the average number of birds Jean saw each day?

a)

3

b)

4

c)

5

d)

6

9.

The scores of a student in an exam are: 70 marks in Hindi, 80 marks in E.V.S, 90 marks in English and his Mathematics mark is 1 mark more than the average marks of the other 3 subjects. What is the marks in Mathematics of this student?

a)

81

b)

86

c)

83

d)

82

10.

The average of first five multiples of 3 is _________

a)

8

b)

9

c)

10

d)

11

11.

Find the average of first 6 odd numbers

a)

6

b)

5

c)

7

d)

4

12.

The average is always greater than the quantities given.

a)

True

b)

False

c)

Cannot say without knowing the quantities

13.

The average of two numbers is 16. If one of the numbers is 10, what is the other number?

a)

20

b)

22

c)

24

d)

26

14.

Average of 1.1, 2.2 and 3.3 is __________

a)

4.4

b)

2.2

c)

2.1

d)

1.5

15.

Find the mean of:

13, 24, 10, 6, 19, 18, 11, 9, 13, 17

a)

140

b)

16

c)

17.3

d)

14

16.
How many mountain bikes were sold?
a)
22
b)
28
c)
16
d)
6
17.
How many more people have purple for a favourite colour than red?
a)
3
b)
5
c)
7
d)
9
18.
The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?
a)
210
b)
207
c)
220
d)
200
19.

The table shows the distances Jim jogged on 5 days.

On average, he jog (a)   each day.

20.

The average weight of five cars A, B, C, D and E is 200 kg. If the average weight of cars A, B and C is 198 kg, while the average weight of cars C, D and E is 203 kg, what is the weight of car C, in kg?

a)

202

b)

203

c)

204

d)

205

21.

What is another word for AVERAGE?

a)

Mode

b)

Median

c)

Mean

d)

Not nice

22.

Find the average of all prime numbers less than 15

a)

429\frac{42}{9}

b)

10 89\frac{8}{9}

c)

416\frac{41}{6}

d)

6 65\frac{6}{5}

e)

6 56\frac{5}{6}

23.

Find the average of four fractions  2 342\ \frac{3}{4}  ,  5 135\ \frac{1}{3}  ,  4 164\ \frac{1}{6}  ,  8 128\ \frac{1}{2}  


a)

5 135\ \frac{1}{3}  

b)

8 238\ \frac{2}{3}  

c)

2 782\ \frac{7}{8}  

d)

5 3165\ \frac{3}{16}  

24.

The average of three numbers is 9.If the average of first two numbers is 12 , find the third number.

a)

27

b)

24

c)

3

d)

4

25.

The average of three numbers is 24.If one number is 18 and the other is 29 , find the third number.

a)

47

b)

72

c)

25

d)

24

26.

The average of five numbers is 27. if one number is excluded, the average becomes 25 . The excluded number is :

a)

100

b)

135

c)

30

d)

35

27.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
28.
52 , in this example 2 is the _____________
a)
base
b)
exponent
29.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
30.

What is the square root of 196?

a)

14

b)

19.6

c)

24

d)

38,416

31.

What is the 64\sqrt{64}  

a)

5

b)

6

c)

7

d)

8

32.

What is 12212^2  

a)

6

b)

121

c)

144

d)

24

33.

Which of the following is a perfect square number

a)

1067

b)

7828

c)

4333

d)

625

34.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}  

35.
192 = _____
a)
400
b)
360
c)
324
d)
361
36.
Which number is the square root of 324?
a)
182
b)
18
c)
√18
d)
18/2
37.
Which of the following is square root of  4.84 ?
a)
2.2
b)
2.02
c)
0.22
d)
0.484
38.
What is the Square Root of 289?
a)
17
b)
16
c)
15
d)
18
39.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
40.

(23)3=\left(\frac{2}{3}\right)^3=  

a)

4/9

b)

2/3

c)

6/9

d)

8/27

41.

(123)3=\left(1\frac{2}{3}\right)^3=  

a)

18271\frac{8}{27}  

b)

12527\frac{125}{27}  

c)

259\frac{25}{9}  

42.

(123)3=\left(1\frac{2}{3}\right)^3=  

a)

18271\frac{8}{27}  

b)

12527\frac{125}{27}  

c)

259\frac{25}{9}  

43.
CHALLENGE.
a)
3
b)
62
c)
6
d)
2
44.
∛125
a)
5
b)
4
c)
6
d)
7
45.
∛216
a)
6
b)
72
c)
108
d)
4
46.

23323^3  means

a)

23 + 23 + 23

b)

23 x 3

c)

23 x 23 x 23

d)

3 + 23

47.

Find the cube root of 729:

a)

9

b)

81

c)

243

48.

(0.05)3=\left(0.05\right)^3=  

a)

0.000125

b)

0.0125

c)

0.125

49.
a)

3

b)

62

c)

6

d)

2

50.

cube root of 13824

a)

22

b)

24

c)

26

d)

23

51.

Hasil dari  31253_{\sqrt{125}}  + 232^3  adalah...

a)

9

b)

11

c)

13

d)

15

52.

Hasil dari 34.096: 23 × 433_{\sqrt{4.096}}:\ 2^3\ \times\ 4^3 adalah... 

a)

24

b)

64

c)

128

d)

140

53.

Hasil dari 3216×38233_{\sqrt{216}}\times3_{\sqrt{8}}-2^3  adalah...

a)

1

b)

2

c)

3

d)

4

54.

(1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

827\frac{8}{27}  

b)

89\frac{8}{9}  

c)

49\frac{4}{9}  

d)

43\frac{4}{3}  

55.

31000343=^3\sqrt{\frac{1000}{343}}=  

a)

100/7

b)

10/7

c)

10/49

d)

100/49

56.
Solve.
√9  ×  √100
a)
30
b)
-200
c)
900
d)
90
57.

32744^3\sqrt{2744}  

(a)  

58.

Find Cube Root of 1728

a)

10

b)

11

c)

12

d)

13

59.

Find Cube Root of 8000

a)

21

b)

20

c)

19

d)

18

60.

Find Cube Root of 4096

a)

12

b)

14

c)

16

d)

18

61.

Find Cube Root of 512

a)

2

b)

4

c)

6

d)

8

62.

What is the cube root of 2197?

a)

12

b)

13

c)

14

d)

15

63.

√ 484

a)

12

b)

24

c)

19

d)

22

64.

The table shows the weights of the cows in a field, in kilograms. Calculate the mean average weight of a cow, giving your answer in kilograms but rounded to the nearest gram.

a)

309.7 kg

b)

307 kg

c)

306 kg

d)

307.917 kg

65.

Mandy earns money by delivering groceries. She earned $4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on Thursday, and $5 on Friday. What is the average amount of money Mandy earned per day?

a)

3

b)

4

c)

5

d)

6

66.

Harley read 5 books in January, 8 books in February, 4 books in March, and 7 books in April. What is the average number of books Harley read per month?

a)

3

b)

4

c)

5

d)

6

67.

3 friends work part-time at Mc Ronnies and earn $150, $300 and $180 per month respectively. What is their average monthly earnings?

a)

176

b)

225

c)

210

d)

200

68.

Jenny read 12 pages on Monday, 25 pages on Tuesday and a couple of pages on Wednesday. On the average, she read 23 pages per day during these 3 days. How many pages did she read on Wednesday?

a)

25

b)

20

c)

30

d)

32

69.

Chelsea has played 4 games so far this season and scored on the average 3 goals per game. The average number of goals in the first 3 games was 2 goals per game. How many goals did Chelsea score in the 4th game?

a)

4

b)

5

c)

6

d)

7

70.

In a set of three numbers, the average of first two numbers is 2, the average of last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

a)

2

b)

2.5

c)

3

d)

3.5

71.

Find the average of the following set of numbers: 10, 24, 31, 11

a)

18

b)

19

c)

20

d)

21

72.

Find the average of the following set of numbers: 43, 8, 62, 16

a)

31.50

b)

30

c)

32.25

d)

32

73.

Find the average of the following set of numbers: 13, 41, 21, 9

a)

20

b)

21

c)

24

d)

25

74.

Find the average of the following set of numbers: 80, 60, 17, 13.

a)

42.5

b)

43.5

c)

40

d)

42

75.

Find the average of the following set of numbers: 39, 41, 15, 88

a)

45

b)

45.25

c)

45.50

d)

45.75

76.

The average score Rachel got for her 7 tests is 49. What is the total score for all her tests?

a)

340

b)

343

c)

346

d)

350

77.

The average score Cindy got for her 2 tests is 71. What is the total score for all her tests?

a)

130

b)

132

c)

140

d)

142

78.

The average score Lina got for her 4 tests is 58. What is the total score for all her tests?

a)

208

b)

280

c)

202

d)

232

79.

The average score Celine got for her 9 games is 31. What is the total score for all her games?

a)

209

b)

270

c)

279

d)

289

80.

The average score Gina got for her 9 tests is 65. What is the total score for all her tests?

a)

585

b)

545

c)

540

d)

520

81.

Hana has 540 cm of ribbon. She cuts it into shorter pieces with an average length of 60 cm. How many shorter pieces of ribbon does she have?

a)

6

b)

7

c)

8

d)

9

82.

Jalil filled 4 identical bottles with water. The average volume of water in each bottle was 0.85 liter. What was the total volume of water in the bottles?

a)

3.2 liter

b)

3.4 liter

c)

3.3 liter

d)

3.5 liter

83.

A crate of oranges is repacked into 5 boxes. The mass of the first box is 5.6 Kg. The total mass of the remaining boxes is 24.8 Kg. Find the average mass of the 5 boxes.

a)

6.08 Kg

b)

6.2 Kg

c)

5.9 Kg

d)

5.85 Kg

84.

The average price of a notebook is $6. If Sally has $150 to buy some notebooks, how many notebooks can she buy?

a)

20

b)

25

c)

30

d)

22

85.

Lina reads an average of 16 pages of a book every day. How many pages will she read in 2 weeks?

a)

100 pages

b)

32 pages

c)

224 pages

d)

112 pages

86.

Hilda types 1200 words in 40 minutes. How many words can she type per minute?

a)

30 words/min

b)

1240 words/min

c)

1160 words/min

d)

48000 words/min

87.

Jenny paid $54 for a piece of cloth that was priced at $6 per meter. How many meter of the cloth did she buy.

a)

324 meter

b)

9 meter

c)

60 meter

d)

48 meter

88.

Andy can peel 4 potatoes in 300 seconds. At this rate, how long does he take to peel 13 potatoes?

a)

52 s

b)

975 s

c)

75 s

d)

3900 s

89.

A newspaper printer can print 12000 pages in an hour. How many pages can the printer print per minute?

a)

100

b)

400

c)

200

d)

300

90.

Danny's car can travel 13 Km per liter of petrol. If there are 41 liter of petrol in his car, how far can his car travel?

a)

232 Km

b)

344 Km

c)

467 Km

d)

533 Km

91.
Simplify 
a)
2
b)
4
c)
6
d)
8
92.
Simplify
a)
63
b)
34
c)
4
d)
36
93.

Which of 21²,32²,47² and 36² would have 6 at unit place

a)

21²

b)

33²

c)

47²

d)

36²

94.

The unit digit in the square of the number 78 is

a)

1

b)

2

c)

3

d)

4

95.
Which of the following is square root of  4.84 ?
a)
2.2
b)
2.02
c)
0.22
d)
0.484
96.

Which statement is NOT true?

a)

√169 = 13

b)

152 = 225

c)

42 = 16

d)

√164 = 18

97.
The square root of 1.96 is_____
a)
1.4
b)
0.14
c)
1.2
d)
0.12
98.
The square root of 289 is 17.  Then find the square root of 289000000
a)
17000
b)
170000
c)
170
d)
1700
99.

25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?

a)

5

b)

10

c)

25

100.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}