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KS2 Maths (Half term) Progress Check

Total questions: 72

Worksheet time: 2hrs 3mins

Name
Class
Date
1.

A camera costs £180 in a 10% sale. What was the pre-sale price?

a)

£200

b)

£18

c)

£198

d)

£162

2.

If 50% is £4 what is 100%?

a)

£2

b)

£4

c)

£8

d)

£10

3.

If 50% is 32m what is 100%?

a)

16m

b)

32m

c)

48m

d)

64m

4.

If 10% is £9 what is 100%?

a)

£9

b)

£18

c)

£90

d)

£180

5.

If 10% is 13kg what is 100%?

a)

26kg

b)

130kg

c)

1.3kg

d)

260kg

6.

What is 20% of 50?

a)

25

b)

15

c)

5

d)

10

7.

If 30% of a number is 45, what is the number?

a)

150

b)

200

c)

160

d)

120

8.

If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?

a)

$25

b)

$30

c)

$35

d)

$45

9.

If 15% of a class of 40 students are absent, how many students are present?

a)

32

b)

34

c)

38

d)

36

10.

What percentage of 80 is 24?

a)

25%

b)

30%

c)

20%

d)

40%

11.

If a recipe calls for 2 cups of flour and you only have 1/2 cup, what percentage of flour do you have?

a)

25%

b)

75%

c)

10%

d)

50%

12.

If a store marks up an item by 50% and sells it for $75, what was the original price?

a)

$70

b)

$25

c)

$50

d)

$60

13.

If a car depreciates by 10% each year, how much will it be worth after 5 years if it was originally $20,000?

a)

$18,500

b)

$15,000

c)

$12,860

d)

$10,250

14.

If a company's profits increase by 20% each year, how much will the profits be after 3 years if they were originally $100,000?

a)

$160,000

b)

$200,000

c)

$172,800

d)

$140,000

15.

If a student scores 80% on a test with 50 questions, how many questions did they answer correctly?

a)

35

b)

45

c)

30

d)

40

16.

If a population of 500 people increases by 15% each year, how many people will there be after 3 years?

a)

725

b)

661.25

c)

675

d)

700

17.

If a phone originally costs $500 and is on sale for 30% off, what is the sale price?

a)

$350

b)

$450

c)

$250

d)

$400

18.

What is 75% of 200?

a)

125

b)

150

c)

175

d)

100

19.

If a pizza is cut into 8 slices and you eat 3 slices, what percentage of the pizza did you eat?

a)

25%

b)

50%

c)

62.5%

d)

37.5%

20.

If a company's expenses are 40% of their revenue, and their revenue is $500,000, what are their expenses?

a)

$100,000

b)

$400,000

c)

$300,000

d)

$200,000

21.

Mary bought a coat which cost $420 after a 30% discount. What is the original price of the coat?

(a)  

22.

In order to bring in a new laptop from China, Ken has to pay the price of the laptop and an additional of 20% import tax on the price of the laptop. In total, Ken paid $6000. How much is the original price of the laptop before tax?

(a)  

23.

A dress is offered for £105 in a 30% sale. How much does it normally cost?

a)

£210

b)

£136.50

c)

£150

d)

£73.50

24.

The price of a chocolate box has increased by 15%. The box now costs £17.25, what was the original cost?

a)

£15

b)

£12.50

c)

£23.00

d)

10

25.

If a shirt is on sale for 25% off and costs $30, what was the original price?

a)

$40

b)

$45

c)

$25

d)

$35

26.

If 15% of a number is 9, what is the number?

a)

45

b)

60

c)

75

d)

30

27.

If a phone is discounted by 40% and now costs $300, what was the original price?

a)

$500

b)

$400

c)

$250

d)

$750

28.

If 40% of a number is 80, what is the number?

a)

160

b)

100

c)

200

d)

120

29.

If 12 is 30% of a number, what is the number?

a)

40

b)

50

c)

35

d)

25

30.

If a dress is discounted by 50% and now costs $50, what was the original price?

a)

$100

b)

$40

c)

$75

d)

$30

31.

Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10

(a)  

32.

Solve the proportion below:

1.621 = 8d\frac{1.6}{21}\ =\ \frac{8}{d}

Type number only. Remember to simplify

33.

Solve the Proportion.

a)

18

b)

6

c)

24

d)

30

34.

In a certain school, there are 1, 530 students in all. How many girls if the ratio of boys to girls is 5:12?

a)

1880

b)

450

c)

1080

d)

1580

35.

The wood is to be cut into two parts in the ratio 10:15. If the wood has a length of 100 m, find the length of the bigger part.

a)

60

b)

40

c)

40

d)

30

36.

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

a)

4/5

b)

17

c)

16

d)

25

37.
a)

147

b)

3

c)

63

d)

441

38.
a)

40

b)

4

c)

400

d)

80

39.

Amrita takes 18 hours to travel 720 kilometres. Time taken by her to travel 360 kilometres is

a)

10 hours

b)

9 hours

c)

8hours

d)

18 hours

40.

If 12 boxes of soap weigh 60kg, what will 10 boxes of soap weigh?

a)
55kg
b)
50kg
c)
45kg
d)
40kg
41.

If 10 metres of cloth cost $150.00, how much will 2 metres cost?

a)
$25.00
b)
$20.00
c)
$35.00
d)
$30.00
42.

If 8 books cost ₦640.00, What will be the cost of 12 of such books?

a)
₦960.00
b)
₦1040.00
c)
₦800.00
d)
₦720.00
43.

If 4 eggs cost ₦800.00, find the cost of a crate of 30 eggs

a)
₦5,500.00
b)
₦7,200.00
c)
₦6,000.00
d)
₦4,500.00
44.

A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?

a)

40 hours : 8000 bricks

b)

40 hours : 6000 bricks

c)

2400 minutes : 6000 bricks

d)

24 hours : 6000 bricks

45.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
46.

A packet of 500 sheets of paper has mass 2.5 kg.

Find the mass of one sheet of paper ?

a)

200 kg

b)

200 g

c)

5 kg

d)

5 g

47.

The total distance my car can travel on a full tank of fuel is 891 km. If the car can hold 54 liters of fuel, what is the fuel efficiency (distance /liter)?

a)

0.06 km/liter

b)

16.5 km/liter

c)

19.4 km/liter

d)

22 km/liter

48.

If Sam spends $60 on 5 show bags, that each cost the same amount, how much would he pay for 8 show bags

a)

$120

b)

$72

c)

$96

d)

$112

49.
6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in _______ minutes
a)
100 
b)
174
c)
144
d)
108
50.
A farmer has enough food to feed 20 animals at his farm for 6 days.  How long the food lost if there were 10 more animals in the farm>
a)
5 days
b)
4 days
c)
6 days
d)
3 days
51.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

a)

6

b)

12

c)

36

d)

48

52.

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

a)

32

b)

14

c)

36

d)

24

53.

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?

a)

35

b)

7

c)

28

d)

14

54.

8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field?

a)

48

b)

56

c)

36

d)

40

55.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

24

b)

32

c)

48

d)

36

56.

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

57.

It takes 4 people 2 days to paint a wall. How long would it take if we got8 people to do it?

a)

1

b)

4

c)

8

d)

6

58.

7 men can complete a work in 52 days. In how many days will 13 men finish the same work ?

a)

36

b)

28

c)

42

d)

56

59.

A book contains 120 pages and each page has 35 lines . How many pages will the book contain if every page has 24 lines per page ?

a)

185

b)

125

c)

175

d)

150

60.

David can complete a work in 6 days working 8 hours per day. If he works 3 hours per day, how many days will he take to complete the work ?

a)

12

b)

32

c)

24

d)

16

61.

Simplify: 35×373^5\times3^7

a)

3123^{12}

b)

9129^{12}

c)

3353^{35}

d)

9359^{35}

62.

Simplify: 3x3×6x83x^3\times6x^8

a)

18x1118x^{11}

b)

18x2418x^{24}

c)

9x119x^{11}

d)

9x249x^{24}

63.

Simplify: 28÷222^8\div2^2

a)

262^6

b)

242^4

c)

2102^{10}

d)

11

64.

Simplify: 42m12÷7m642m^{12}\div7m^6

a)

6m66m^6

b)

6m26m^2

c)

35m635m^6

d)

35m235m^2

65.

Simplify: (y7)2\left(y^7\right)^2

a)

y14y^{14}

b)

y49y^{49}

c)

y5y^5

d)

y9y^9

66.

Simplify: (3h2)3\left(3h^2\right)^3

a)

27h627h^6

b)

27h527h^5

c)

9h69h^6

d)

9h59h^5

67.

Which equation shows the multiplication law of indices?

a)

am×an=am+na^m\times a^n=a^{m+n}  

b)

am÷an=amna^m\div a^n=a^{m-n}  

c)

(am)n= amn\left(a^m\right)^n=\ a^{m-n}  

d)

a0=1a^0=1  

68.

Which equation shows the negative law of indices?

a)

am×an=am+na^m\times a^n=a^{m+n}  

b)

am÷an=amna^m\div a^n=a^{m-n}  

c)

am=1ama^{-m}=\frac{1}{a^m}   

d)

a0=1a^0=1  

69.

Rearrange the following from smallest to biggest

a)

242^{-4}

b)

212^{-1}

c)

202^0

d)

222^2

e)

252^5

1)
2)
3)
4)
5)
70.

Anything to the power of ​ (a)   is equal to ​ (b)   .

Choose from the below words
0
1
-1
2
71.

Match the following:

a)

2x2×4x32x^2\times4x^3

1.

8x58x^5

b)

(2x2)3\left(2x^2\right)^3

2.

8x68x^6

c)

12x8÷2x312x^8\div2x^3

3.

6x56x^5

d)

6x0×x66x^0\times x^6

4.

6x66x^6

e)

10x5\frac{10}{x^{-5}}

5.

10x510x^5

72.

2x5×10x74x3\frac{2x^5\times10x^7}{4x^3}