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maths word problem

Total questions: 75

Worksheet time: 44mins

Name
Class
Date
1.

Martin and Paul share a prize worth £80 in the ratio 3:2. How much money does Paul get?

a)

£48

b)

£16

c)

£64

d)

£32

2.

Sarah's grand-mother is 4 times as old as Sarah was 5 years ago. If Sarah's grand-mother is 72. How old is Sarah now?

a)

13

b)

23

c)

18

d)

17

3.

A fashion shop has a sale. Every item in the shop is reduced by 30%. Susan buys a skirt that normally costs £42.00.

How much does Susan have to play for the skirt in the sale?

a)

£29.40

b)

£60.00

c)

£54.60

d)

£30.00

4.

 What is the value of the space below?    48000.01=4.8×θ, so the value of θ isWhat\ is\ the\ value\ of\ the\ space\ below?\ \ \ \ \frac{4800}{0.01}=4.8\times\theta,\ so\ the\ value\ of\ \theta\ is  

a)

10,000

b)

480,000

c)

100

d)

100,000

5.

If a packet of 50 envelopes costs 70p, how many envelopes can I buy with £10?

a)

750

b)

700

c)

1400

d)

350

6.

Add together these times:

1hr 55min + 3hr 33min +2hr 54min

a)

8 hours 22 minutes

b)

7 hours 22 minutes

c)

7 hours 42 minutes

d)

8 hours 42 minutes

7.

What is the value of X:

66-X=45

a)

109

b)

-109

c)

-21

d)

21

8.

 Find the value of −43×32Find\ the\ value\ of\ -4^3\times3^2  

a)

-579

b)

-576

c)

576

d)

579

9.

Work out the missing value

25% of _ =80

a)

320

b)

20

c)

160

d)

40

10.

I buy a bar of chocolate for 67p and pay with £5 note. What is the smallest number of coins that I can receive as a change?

a)

8

b)

7

c)

6

d)

5

11.

Victoria takes 107 minutes to travel home each evening. she arrives home 7.26 p.m. At what time did she leave work?

a)

6.19 p.m.

b)

5.39 p.m.

c)

8.33 p.m.

d)

6.39 p.m.

12.

I think of a number. When i multiply this number by 7 and then subtract 9 I get 33. What number am I thinking of?

a)

288

b)

96

c)

294

d)

6

13.

What fraction of an hour is 18 minutes? in lowest possible terms

a)

18/100

b)

9/50

c)

18/60

d)

3/10

14.

James takes a £50 note to a restaurant. He buys a fish for £4.39, chips for £1.65, and an orange juice for £1.95.

How much change should he get from the £50 note?

a)

£7.99

b)

£57.99

c)

£42.01

d)

£12.01

15.

The letters of the alphabet are given numbers so that A=1, B=2,.....,Z=26. The value of the letters of a word are then added together. Work out the value of the word TAG.

a)

28

b)

27

c)

26

d)

29

16.

A rectangle has perimeter 44 cm. The rectangle is five times as long as it is wide. What is the area of the rectangle?

a)

20cm220cm^2

b)

40cm240cm^2

c)

220cm2220cm^2

d)

196cm2196cm^2

17.

what is the number which is halfway between 83 and 119.

a)

101

b)

99

c)

97

d)

102

18.

 Which fraction is odd one out?        824,13,412,14Which\ fraction\ is\ odd\ one\ out?\ \ \ \ \ \ \ \ \frac{8}{24},\frac{1}{3},\frac{4}{12},\frac{1}{4}  

a)

8/24

b)

1/3

c)

4/12

d)

1/4

19.

Michelle drives at a steady speed of 70 kilometres per hour for six hours. Susan does the same journey at a steady speed of 60 kilometres per hour. How long does it take Susan to complete the journey?

a)

7 hours

b)

8 hours

c)

13 hours

d)

1 hours

20.

What is the smallest angle between the hands of a clock when the time is twelve minutes past five?

a)

30°30^{\degree}

b)

5°5^{\degree}

c)

38°38^{\degree}

d)

40°40^{\degree}

21.

Find the next two numbers in the following sequence:

3, 4, 7, 11, 18, 29, _, _

a)

47,76

b)

44,63

c)

44,69

d)

44,67

22.

Martin, Sam and David share a bag of sweets. Martin gets 8 more sweets than Sam and David gets twice as many sweets as Martin. David gets 32 sweets. How many sweets are there in the bag?

a)

64

b)

72

c)

120

d)

56

23.

what percentage of £5.60 is 70p?

a)

12,5%

b)

25%

c)

8%

d)

80%

24.

The distance from London to Brighton is 60 miles. 5 miles is approximately 8 kilometres. Calculate the approximate distance in kilometres from London to Brighton.

a)

37.5

b)

2400

c)

480

d)

96

25.

Apples cost 11p each. how many can I buy for £4.18?

a)

3

b)

38

c)

40

d)

39

26.

How many prime numbers are there between 15 and 30?

a)

3

b)

4

c)

5

d)

6

27.

Which of the following has the smallest value?

a)

10% of 80

b)

20% of 60

c)

30% of 40

d)

50% of 20

28.

write down all the numbers smaller than 50 which are multiples of both 4 and 6

(a)  

29.

Tickets for a festival cost £5.80 for adults and £3.30 for children. How much would it cost for 2 adults and 3 children to go?

a)

£21.50

b)

£22.50

c)

£25,50

d)

£25

30.

There are 44 packets of crisps in a box. A supermarket buys 18 boxes. How many packets of crisps is this?

a)

795

b)

792

c)

829

d)

892

31.

How many eighths are there in 6?

a)

24

b)

36

c)

48

d)

2/4

32.

What is two-fifths of 45?

a)

16

b)

18

c)

20

d)

26

33.

Regan spends £2.05 on lunch each weekday. How much does she spend in a week.

(a)  

34.

Two-thirds of a number is 54. What is the number?

(a)  

35.

Write these numbers in order of size, starting with the largest:

1.88 1.7 1.878 0.887

(a)  

36.

Which one of the following is the most likely the length of a car

a)

180mm

b)

4.5m

c)

190cm

d)

5 feet

37.

What is the sum of the factors of 24?

(a)  

38.

Which of the following has the smallest value?

a)

60% of 20

b)

50% of 30

c)

40% of 40

d)

30% of 50

39.

James lives 4.8km away from Arjun. How far is that in metres?

(a)  

40.

Write the next two numbers in the following sequence

1 4 16 64 _ _

(a)  

41.

Work out three eighths of 264.

(a)  

42.

60% of a number is 240. What is the number?

(a)  

43.

Which of the following gives the largest answer?

a)

15×1615\times16

b)

12×2012\times20

c)

27×927\times9

d)

22×1122\times11

e)

23×1023\times10

44.

Kofi leaves for the shops at 11:23am and returns 2 hours 48 minutes later. At what time does he return?

a)

1:01 pm

b)

1:11 pm

c)

2:10 pm

d)

2:01 pm

e)

2:11 pm

45.

Find the area of a rectangle whose length is 21 m and breadth is 500 cm

(a)  

46.

Find the area of a rectangle whose length is 41 m and breadth is 400 cm.

(a)  

47.

Find the area of the given figure:

(a)  

48.

1, What is the area of the living room?

2,What is the perimeter of the entrance?

3,What is the perimeter of the kitchen?

4,He wants his children to take the bedroom with lower perimeter. Which bedroom will be given to the children?

(a)  

49.

Ryan wants to put a lace around a square cloth with length 15 meter. He bought a lace of length 40 meter. How much more does he need?

a)

10 m

b)

20 m

c)

30 m

d)

8 m

50.

Tara wants a new carpet for her rectangular dining room. Her dining room is a rectangle of 5 meters by 7 meters. What will be the area of her carpet that covers her entire dining room?

a)

25 sq.m

b)

35 sq.m

c)

45 sq.m

d)

22 sq.m

e)

32 sq.m

51.

A square field has perimeter 540 m. What is the length of its side and area?

a)

125 m, 18226 sq.m

b)

135 m, 18226 sq.m

c)

125 m, 18225 sq.m

d)

135 m, 18225 sq.m

52.

Find the area of the floor of a square room in square metres whose each side is 800 cm.

a)

64 sq.m

b)

65 sq.m

c)

67 sq.m

d)

68 sq.m

53.

100 bricks of length 24 cm and breadth 15 cm are used to tile a path of a garden. What is the area of the path?

a)

35000 sq.m

b)

36000 sq.m

c)

35500 sq.m

d)

36500 sq.m

54.

How many bricks will be required to lay a path 120 m long and 2.4 m breadth if a brick is 24 cm long and 15 cm wide?

a)

7000

b)

6000

c)

8000

d)

9000

55.

Find the cost of tiling a dining room 20 m long and 15 m wide at the rate of $ 5 per square m.

a)

$ 1600

b)

$ 1500

c)

$ 1400

d)

$ 1300

56.

A carpet is 5 m long and 4 m wide. Find its price at the rate of $ 205 per square meter.

a)

$ 4000

b)

$ 4100

c)

$ 4200

d)

$ 4300

57.

How many square tiles of side 10 cm will be required to tile a floor measuring 800 cm by 900 cm?

a)

7000

b)

7100

c)

7200

d)

7300

58.

How many tiles of length 5 cm and breadth 8 cm are needed to tile the floor of a bed room 200 cm long and 400 cm wide?

a)

1000

b)

2000

c)

3000

d)

4000

59.

What will be the area of a square with perimeter 200 m?

a)

3500 sq. m

b)

2500 sq.m

c)

1500 sq.m

d)

1000 sq.m

60.

A laptop is sold for $6800 at a loss of 15%. Find the cost price of the laptop.

a)

$ 9000

b)

$ 8000

c)

$ 9500

d)

$ 8500

61.

By selling an article for $810, a loss of 10 percent is suffered. Find its cost price.

a)

$ 9000

b)

$ 8000

c)

$ 7000

d)

$ 6000

62.

The selling price of an article is $1200 and cost price is 5/4 times of his selling price. Find profit or loss as percent

a)

10%

b)

20%

c)

15%

d)

25%

63.

By selling an article for $825, a person loses equal to 1/3 of its selling price. Find the profit percent or the loss percent made; if the same article is sold for $1265

a)

15% loss

b)

15% profit

c)

20% loss

d)

20% profit

64.

The average height of a family of five is 150 cm. If the heights of 4 family members is 153, 150, 151 and 152, find the height of the fifth member.

a)

145

b)

144

c)

143

d)

154

65.

Find the average of first ten odd numbers.

a)

20

b)

10

c)

5

d)

9

66.

I buy 4 Mega Bars at 65 pence each and 3 Star Bars at 83 pence each. How much change do I get from £10?

a)

£4.91

b)

£5.09

c)

£5.91

d)

£5.19

67.

Two positive whole numbers add together to make 23. What is the smallest possible answer when the two numbers are multiplied together

a)

132

b)

122

c)

22

d)

23

68.

Half of a number is 8 bigger than three sevenths of the number. What’s the number?

a)

140

b)

112

c)

119

d)

98

69.

Dave and Eddie are cycling around a track. Dave completes a lap every 30 seconds, and Eddie completes a lap every 25 seconds. How many laps will Eddie complete in the time it takes Dave to complete 15 laps?

a)

15

b)

16

c)

18

d)

20

70.

The total of five different, positive odd numbers is 85. What’s the most that the largest number could be?

a)

69

b)

35

c)

25

d)

21

71.

How many different ways are there of paying exactly 15p using 1p and/or 2p pieces?

a)

2

b)

3

c)

7

d)

8

72.

I’m thinking of two numbers, one of which is three times as big as the other. When I double one of my numbers and then add it to the other I get 140. Which of the following cannot possibly be one of my numbers?

a)

20

b)

28

c)

50

d)

60

e)

84

73.

Complete the missing numbers in each of the number sequences below:

28, 25, 22, ____, ____, 13, 10.

a)

19,18

b)

19,16

c)

19,15

d)

21,16

74.

The temperature in Inverness is 12 degrees lower than the temperature in London. The temperature in London is 5 degrees. What is the temperature in Inverness?

a)

-8

b)

-7

c)

-6

d)

17

75.

B + A + T = 17

C + A + T = 25

C + O + A + T = 29

What is the value of B + O + A + T

a)

17

b)

21

c)

30

d)

18