Free Printable Maths due 30/09/2019

1.

Which represents $x<3$ ?

Clue: Arrow should point in the same direction as the sign

a)

A

b)

B

c)

C

d)

D

2.

What is the largest integer that satisfies

x<3

?

a)

2

b)

2.99999...

c)

3

d)

4

3.

Which of the following represents $-2\le x<3$ ?

Clue: Extra line in inequality sign means "or equal to."
Which circle will be shaded?

a)

A

b)

B

c)

C

d)

D

4.

Which two of the following do not satisfy the inequality $-2\le x<3$ ?

Clue: Extra line in inequality sign means "or equal to"

a)

$-3$

b)

$-2$

c)

$2$

d)

$3$

5.

Solve $2x+5\ge3$

Clue: What happens to 𝑥 last?

a)

$x\ge-1$

b)

$x\ge1$

c)

$x\ge-4$

d)

$x\ge4$

6.

Solve $-2<2x\le4$

Clue: What happens to 𝑥? Do the opposite to both sides.

a)

$-1<x\le2$

b)

$-2<x\le2$

c)

$-1<x\le4$

d)

$-4<x\le8$

7.

Solve $-5\le x+2<4$

Clue: What happens to 𝑥? Do the opposite to both sides.

a)

$-7\le x<2$

b)

$-3\le x<6$

c)

$-7\le x<4$

d)

$-3\le x<4$

8.

Dan’s alarm and George’s alarm both beep at 7:50 am.

Dan’s alarm beeps every 6 minutes.

George’s alarm beeps every 4 minutes.

What is the next time both alarms beep together?

a)

8:02

b)

8:14

c)

8:06

d)

8:08

9.

The table shows the time it takes some students to get to school. Which of the following statements is false?

a)

$\text{mean}=\frac{\Sigma fx}{\Sigma f}$

b)

The last step is to divide by 4

c)

$\Sigma f=50$

d)

To get the $fx$ column, multiply frequency by the midpoint

10.

Molly changes £75 into dollars. Which calculation would work out how many dollars she gets? The exchange rate is:
£1 = $1.50

Clue: From pounds to dollars.
Multiply going forwards, divide going back.

a)

$75\times1.5$

b)

$75\div1.5$

c)

$75\times1$

d)

$1.5\div75$

11.

Leon changes $60 into pounds. Which calculation would work out how many pounds he gets? The exchange rate is:
£1 = $1.50

Clue: From dollars to pounds. Multiply going forwards, divide going back.

a)

$60\div1.5$

b)

$60\times1.5$

c)

$60\times1$

d)

$1.5\div60$

12.

Select the correct calculation to:
Work out 25% of 60

Clue: Express the percentage as a decimal.

a)

$60\times0.25$

b)

$60\times25$

c)

$60\times2.5$

d)

$60\times1.25$

13.

Select the correct calculation to:
Decrease £60 by 75%

Clue: Take away from 100%. Express resulting percentage as a decimal.

a)

$60\times0.25$

b)

$60\times25$

c)

$60\times2.5$

d)

$60\times1.25$

14.

Select the correct calculation to:
Work out 250% of £60

Clue: Express the percentage as a decimal.

a)

$60\times0.25$

b)

$60\times25$

c)

$60\times2.5$

d)

$60\times1.25$

15.

Select the correct calculation to:
Work out 125% of £60

Clue: Express the percentage as a decimal.

a)

$60\times0.25$

b)

$60\times25$

c)

$60\times2.5$

d)

$60\times1.25$

16.

Select the correct calculation to:
Increase £60 by 25%

Clue: Add to 100%. Express resulting percentage as a decimal.

a)

$60\times0.25$

b)

$60\times25$

c)

$60\times2.5$

d)

$60\times1.25$

17.

Select the correct calculation to:
Work out 75% of £60

Clue: Express the percentage as a decimal.

a)

$60\times0.75$

b)

$60\times0.25$

c)

$60\times1.25$

d)

$60\times1.75$

18.

Select the correct calculation to:
Decrease £60 by 25%

Clue: Subtract from 100%. Express the resulting percentage as a decimal.

a)

$60\times0.75$

b)

$60\times0.25$

c)

$60\times1.25$

d)

$60\times1.75$

19.

Select the correct calculation to:
Increase £60 by 75%

Clue: Add to 100%. Express the resulting percentage as a decimal.

a)

$60\times0.75$

b)

$60\times0.25$

c)

$60\times1.25$

d)

$60\times1.75$

20.

Select the correct calculation to:
Work out 175% of £60

Clue: Express the percentage as a decimal.

a)

$60\times0.75$

b)

$60\times0.25$

c)

$60\times1.25$

d)

$60\times1.75$

21.

Express 120 as a product of prime factors.

Clue: See the partially-completed factor tree above.

a)

$2^3\times3\times5$

b)

$2\times3\times3\times5$

c)

$2\times3^2\times5$

d)

$3\times5\times8$

22.

Find the LCM of 9 and 12

Clue: M stands for 'multiple.'

a)

3

b)

36

c)

72

d)

108

23.

Find the HCF of 9 and 12

Clue: F stands for 'factor.'

a)

3

b)

36

c)

72

d)

108

24.

What is 50% as a decimal?

Clue: Divide by 100

(decimal point moves twice to the left)

a)

0.5

b)

5

c)

0.05

d)

0.005

25.

What is 5% as a decimal?

Clue: Divide by 100

(decimal point moves twice to the left)

a)

0.5

b)

5

c)

0.05

d)

0.005

26.

What is 0.5% as a decimal?

Clue: Divide by 100

(decimal point moves twice to the left)

a)

0.5

b)

5

c)

0.05

d)

0.005

27.

Work out the value of 𝑥

Clue: $35\%=\frac{35}{100}$

a)

5

b)

6

c)

7

d)

8

28.

Work out the value of 𝑥

Clue: $\frac{13}{25}=\frac{x}{100}=x\%$

a)

39

b)

52

c)

65

d)

78

29.

Work out $\frac{4}{5}$ of 15

Clue: Work out $\frac{1}{5}$ first

a)

3

b)

6

c)

9

d)

12

30.

What is 45% as a decimal?

Clue: Divide by 100

(decimal point moves twice to the left)

a)

0.45

b)

4.5

c)

0.045

d)

0.0045

31.

What is 45% as a fraction in its simplest form?

Clue: Don't forget to simplify

a)

$\frac{45}{100}$

b)

$\frac{9}{20}$

c)

$\frac{20}{9}$

d)

$\frac{100}{45}$

32.

What is the cube root of 64?

Clue: ? × ? × ? = 64

a)

4

b)

8

c)

32

d)

192

33.

Work out $5^3$

a)

125

b)

25

c)

15

d)

35

34.

Round 12.3456 to 3 decimal places

Clue: With decimal places, you count after the decimal point.

a)

12.3

b)

12.35

c)

12.345

d)

12.346

35.

Round 12.3456 to 3 significant figures

Clue: With significant figures, you count from the beginning, ignoring leading zeroes. You sometimes add zeroes to make your answer close to the original number.

a)

12.3

b)

12.35

c)

12.345

d)

12.346

36.

Round 0.000278 to 4 decimal places

Clue: With decimal places, you count after the decimal point.

a)

0.0003

b)

0.0002

c)

0.0027

d)

0.0028

37.

Round 0.000278 to 2 significant figures

Clue: With significant figures, you count from the beginning, ignoring leading zeroes. You sometimes add zeroes to make your answer close to the original number.

a)

0.00

b)

0.01

c)

0.00028

d)

0.00027

38.

Round 1234.567 to 2 decimal places

Clue: With decimal places, you count after the decimal point.

a)

1234.57

b)

1234.56

c)

1200

d)

1300

39.

Round 1234.567 to 2 significant figures

Clue: With significant figures, you count from the beginning, ignoring leading zeroes. You sometimes add zeroes to make your answer close to the original number.

a)

1234.57

b)

1234.56

c)

1200

d)

1300

40.

Solve 8𝑥 + 9 = 3𝑥 + 19

What is the next line of working?

Clue: What do you do when you have 𝑥 on both sides?

a)

5𝑥 + 9 = 19

b)

9 = −5𝑥 + 19

c)

8𝑥 = 3𝑥 + 28

d)

11𝑥 + 9 = 19

41.

Solve 9𝑦 + 13 = 2𝑦 − 1

What is the next line of your working?

Clue: What do you do when you have 𝑦 on both sides?

a)

7𝑦 + 13 = −1

b)

13 = −7𝑦 − 1

c)

11𝑦 + 13 = −1

d)

9𝑦 = 2𝑦 + 12

42.

Solve 3(2𝑥 + 4) = 24

What is the next line of your working?

There are two possible right answers.

Clue: One of the possibilities is to divide everything by 3.

a)

6𝑥 + 12 = 24

b)

6𝑥 + 4 = 24

c)

3(2𝑥) = 20

d)

3(2𝑥) = 28

e)

2𝑥 + 4 = 8

43.

Solve $\frac{2x}{5}+1=5$

Clue: What's the last thing to happen to 𝑥? Do the opposite.

a)

$\frac{2x}{5}=6$

b)

$\frac{2x}{5}=4$

c)

$2x+1=25$

d)

$2x+1=1$

44.

Solve $\frac{2x+1}{5}=5$

What is the next line of your working?

Clue: What's the last thing to happen to 𝑥? Do the opposite.

a)

$\frac{2x}{5}=6$

b)

$\frac{2x}{5}=4$

c)

$2x+1=25$

d)

$2x+1=1$

45.

What is the correct next step to work out the cost of 1 kg of potatoes in the Farm Shop?

Clue: 𝑥 represents the cost of 1 kg. How do you get 𝑥 on its own?

a)

÷ 2.5

b)

÷ 12.5

c)

× 2.5

d)

× 12.5

46.

What is the correct next step to work out the cost of 1 kg of potatoes in the Supermarket?

Clue: 𝑥 represents the cost of 1 kg.

How do you get 𝑥 on its own?

a)

÷ 2.5

b)

÷ 12.5

c)

× 2.5

d)

× 12.5

47.

Paint is sold in differently sized containers.

Which of these is the best value?

Clue: What does 1 litre cost for all the four options?

a)

1 litre for £2.50

b)

2 litres for £4.44

c)

4 litres for £8

d)

8 litres for £16.80

48.

Select the correct calculation to work out the missing side.

Clue: Are you looking for the hypotenuse?

a)

$\sqrt{16^2-8^2}$

b)

$\sqrt{8^2-16^2}$

c)

$\sqrt{16+8}$

d)

$\sqrt{16^2+8^2}$

49.

Choose the correct calculation to work out the missing side.

Clue: Are you looking for the hypotenuse?

a)

$\sqrt{11^2+8^2}$

b)

$\sqrt{8+11}$

c)

$\sqrt{8^2-11^2}$

d)

$\sqrt{11^2-8^2}$

50.

What is 225 minutes in hours, as a decimal?

Clue: 1 hour = 60 minutes.

Just like with exchange rates, are you converting forwards or backwards?

So do you multiply or divide?

a)

3.75

b)

3.25

c)

2.75

d)

2.25

51.

Convert 1.25 hours to hours and minutes.

Clue: 1 hour = 60 minutes.

Just like with exchange rates, are you going forward or back? Do you multiply or divide?

a)

1 hours 15 minutes

b)

1 hour 25 minutes

c)

1 hour 4 minutes

d)

1 hour 40 minutes

52.

Mike went for a 120 minute jog.

He ran at 5 miles an hour.

How far did he run?

Clue: speed × time = distance

a)

5 miles

b)

10 miles

c)

12 miles

d)

15 miles

53.

Mike walked 15 km in three hours.

What was his average speed?

Clue: speed × time = distance

a)

5 km/h

b)

5 mph

c)

45 km/h

d)

45 mph

54.

Arthur is 8 miles away from home.

He starts walking home at 14:00.

If he walks at 4 mph, what time should he arrive?

Clue: speed × time = distance

14:00 is the same as 2pm

a)

3pm

b)

4pm

c)

5pm

d)

6pm

Maths due 30/09/2019

Total questions: 54

Worksheet time: 14hrs 30mins

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