Apr 21, 2023 1

Level 3Non - Calculator

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20Exercise

Level 3

Apr 21, 2023

Exercise 1

1. The fastest time for running the 100 metres is 9·78 seconds.

What is this time correct to 1 decimal place?

2. A school orders 9 computer screens at £106 each. What is the total cost?

3. Simplify8a + 2b - 3a

4. £42 is shared between 8 people, how much does each person get?

£954

9.8s5a + 2b£5.25

Level 3

Apr 21, 2023

Exercise 2

1. Round 5·588 to 2 decimal places.

2. The product of two numbers is 125.One of the numbers is 5.What is the other number?

3. Simplify6a + 3b - a

4. £52 is shared between 10 people, how much does each person get?

25

5·595a + 3b

£5.20

Level 3

Apr 21, 2023

Exercise 3

1. Round 7·782 correct to 2 decimal places.

2. Calculate 20% of £903. Simplify

3a + 4b – a + 2b

4. Eight men weigh 626 kg in total. What is the average weight?

£18

7·782a +6b

78.25kg

Level 3

Apr 21, 2023

Exercise 4

1. Round 13·598 to 2 decimal places.

2. A golf caddy car travels round a golf course at an average speed of 20 km per hour.

What distance does it travel in 15minutes?3. Simplify

6x + 4y + 2x - 3y

4. How many pieces of rope, each 6 metres long, can be cut from a length of rope 291·5 metres long?

5km

13·60

8x + y48

Level 3

Apr 21, 2023

Exercise 5

1. Which of these numbers would NOT be equal to 7·4 when rounded to one decimal place?

A 7·38B 7·44C 7·351D 7·451

2. The product of two numbers is 112.One of the numbers is 4.What is the other number?

3. If a=2 and b=3, find the value of4a + 2b

4. Julia has moved house. The removal firm took 8 hours to complete the move.

They charged £164·00 in total.What did the removal firm charge per hour?

28D 7·451

14

£20.50

Level 3

Apr 21, 2023

Exercise 6

1. The use of leap years is a way of compensating between the quarter-day difference between a

calendar year of 365 days and the astronomical year of 365·24219878 days.

Round 365·24219878 to 5 decimal places2. What is 5% of 320?

3. If x = 6 and y = 2, find the value of 3x – 4y

4. Helen needs to buy 40 metres of steel rope and transport it home.1 metre of steel rope weighs 16·8 kg.What weight of rope will Helen have to transport

home? 16365.24220

10

672kg

Level 3

Apr 21, 2023

Exercise 7

1. A car enters the car park at 9.17 am and leaves at1.04 pm. How much does this stay cost?

 Length of stay   Cost 

 Up to 1 hour 

 Up to 2 hours 

 Up to 4 hours 

 Over 4 hours 

 60p 

 £1·00 

 £2·00 

 £4·00 

£2

Level 3

Apr 21, 2023

Exercise 7

2. Round the numbers 2·875 and 4·42 to one decimal place and then add them together.

2.9 + 4.4 = 7.3

Level 3

Apr 21, 2023

Exercise 7

The air temperature at the foot of a mountain is 31°C. On top of the mountain it is -7 °C. How much warmer is the air at the foot of the mountain?

38 degrees

3.

Level 3

Apr 21, 2023

Exercise 7

4.

£44.95

A store is selling all its compact discs at the same price. 3 compact discs cost £26·97. How much do 5 compact discs cost?

Level 3

Apr 21, 2023

Exercise 8

1.

7 mugs

Haroum went into a superstore and bought 8 DVDs at £12·99 each and a number of identical mugs costing £6·40 each. In total, he spent £148·72. How many mugs did he buy?

Level 3

Apr 21, 2023

Exercise 8

2.

b) 300

12·3 x 28·2 is nearest in value to 

a) 30

b) 300

c) 3000

d) 30000

Level 3

Apr 21, 2023

Exercise 8

The temperature at 10 pm is -1°C. The temperature drops by 2°C every hour. What is the temperature at midnight?

3.

-5 degrees

Level 3

Apr 21, 2023

Exercise 8

Martin sent out 200 questionnaires. 52 completed questionnaires came back. What percentage is that?

4.

26%

Level 3

Apr 21, 2023

Exercise 9

1.

5.6

The judges in an ice skating competition gave the following scores: 5·6 5·4 5·6 5·5 5·7 5·8 5·5 5·7

What was the average score?

Level 3

Apr 21, 2023

Exercise 9

2. Which of these numbers would NOT be equal to 7·4 when rounded to one decimal place?

D 7.451

A 7·38

B 7·44

C 7·351

D 7·451

Level 3

Apr 21, 2023

Exercise 9

3. During a school trip Joe, Mary and Andy buy lunch at Brill Burger. Burgers cost £1·63 and juice costs 54p. Each of the friends has £4·50. How much money will they have left, altogether, if they each buy a burger and juice?

£6.99

Level 3

Apr 21, 2023

Exercise 9

4.

4%

What percentage of the grid is shaded?

Level 3

Apr 21, 2023

Exercise 10

1.

300cm or 3m

A scale drawing is made of a room. The scale is 1 cm to 50 cm. The length of the room on the drawing is 6 cm. What is the actual length?

Level 3

Apr 21, 2023

Exercise 10

2.

17,19,23

The number 59 is the sum of three consecutive prime numbers.

What are the three numbers?

Level 3

Apr 21, 2023

Exercise 10

3.

54

The coffee machine is two-thirds full. This is enough for 36 cups. How many cups of coffee are there in the machine when it is full?

Level 3

Apr 21, 2023

Exercise 10

4.

22cm

A rectangle has an area of 24 cm². The length is 8 cm. Find the perimeter of the rectangle.

Level 3

Apr 21, 2023

Exercise 11

1.

£1800

A new motor car costs £6000. It loses 30% of its value over the first year. What is the drop in value over the first year?

Level 3

Apr 21, 2023

Exercise 11

2.

71.72

Calculate: 58 + 13·72

Level 3

Apr 21, 2023

Exercise 11

3.

1hr 20 min

George took 7 hours 55 minutes to drive from Glasgow to London. Eric took 9 hours 15 minutes to drive the same journey. How much quicker was George?

Level 3

Apr 21, 2023

Exercise 11

4.

10am

A red bus leaves the bus station every 20 minutes. A blue bus leaves every 10 minutes. A yellow bus leaves every 6 minutes. If all 3 colours of bus leave together at 9.00 am, when will be the next time that they all leave together? 

Level 3

Apr 21, 2023

Exercise 12

1.

0.365g

Weight at the start: 9·302 g Weight at the end: 8·937 g What weight of material was lost during the experiment?

Level 3

Apr 21, 2023

Exercise 12

2.

A: 50

Which of the following is the greatest value?

A 10% of 500

B 50% of 80

C 25% of 100

D 20% of 200

Level 3

Apr 21, 2023

Exercise 12

3.

£94.51

At the start of the month, Gordon has £267 in his bank account. He spends £36·50 on CDs, £29·99 on clothes and £106 on food and travel over the month. How much money has he left at the end of the month?

Level 3

Apr 21, 2023

Exercise 12

4.

£80.94

One CD costs £13·49. How much will 6 CDs cost?

Level 3

Apr 21, 2023

Exercise 13

1.

A 6:8

B 3:5

C 9:15

D 9:25

Which of the following ratios are equivalent to 6:10 ? 

B

Level 3

Apr 21, 2023

Exercise 13

2. The product of two prime numbers is 187.     Write down the prime numbers.

11 and 17

Level 3

Apr 21, 2023

Exercise 13

3.

£15,000

The graph shows the total income and expenditure of Douglasville Football Club over a 6-year period.

How much profit didthe club make in 2009?

Level 3

Apr 21, 2023

Exercise 13

4. Complete the table and put the constestants in order. Number the boxes 1, 2 and 3 to show the correct order.  

Name Sam Kim Alex

Round 1 15 -9 -7

Round 2 -9 12 15

Round 3 -8 5 -3

Total

Sam

Alex

Kim

3

2

1

Level 3

Apr 21, 2023

Exercise 14

1.

16.5kg

The weight of a box is 16·481 kilograms.      What is the weight to the nearest 0·1 kilogram? 

Level 3

Apr 21, 2023

Exercise 14

2.

47kg

The weights of 5 pupils are measured.   The weights are 47 kg, 51 kg, 45 kg, 42 kg and 50 kg.      What is the average weight of the 5 pupils? 

Level 3

Apr 21, 2023

Exercise 14

3.

0 degrees

In a fish store, the temperature was –3°C. By 1pm the temperature had risen by 3 degrees.    What was the temperature at 1pm? 

Level 3

Apr 21, 2023

Exercise 14

4.

18 balls

4 balls of wool are needed to knit 6 hats.     How many balls of wool would be needed to knit 27 hats? 

Level 3

Apr 21, 2023

Exercise 15

1.

800

John, Simon and Kevin earned money in their summer holiday by delivering leaflets.  Kevin delivered twice as many as Simon. John delivered 500 more than Simon.  They delivered 3700 leaflets in total.      How many leaflets did Simon deliver? 

Level 3

Apr 21, 2023

Exercise 15

2.

0.90

Round 0·896 to 2 decimal places. 

Level 3

Apr 21, 2023

Exercise 15

3.

15hr

How long will it take for a plane to travel 3000 km at 200 km per hour? 

Level 3

Apr 21, 2023

Exercise 15

4.

C

In a school there were 1200 pupils (boys and girls).  A sample of 100 pupils was selected at random and 45 boys were found in the sample.  Which of these is the most likely to be the number of boys in the school? 

A ) 450

B ) 500

C) 540

D) 600

Level 3

Apr 21, 2023

Exercise 16

1.

1/9

The table below shows the number of planes arriving at an airport from different parts of the world during one month. 

Arrivals from Number of Planes

Asia 100

Europe 200

Far East 180

North America 260

Other Countries 160

Total 900

What is the probabilitythat a plane chosen at random arrived from Asia? 

Level 3

Apr 21, 2023

Exercise 16

2.

12km/h

Morag walks to school.  Her house is 3 km from school and she takes 15 minutes to walk to school.    Calculate her speed in km/hour. 

Level 3

Apr 21, 2023

Exercise 16

3.

-12degrees

The temperature in London is 8°C. The temperature in Moscow is 20 degrees colder thanthe temperature in London.     What is the temperature in Moscow? 

Level 3

Apr 21, 2023

Exercise 16

4.

7:1

21 litres of water are mixed with 3 litres of orange concentrate to make an orange drink.  Work out the ratio of water to orange concentrate. Write the ratio in its simplest form. 

Level 3

Apr 21, 2023

Exercise 17

1.

28, 29, 30, 31, 32

Bundles of concert programmes were given to five classes – A, B, C, D and E.     •     There were enough programmes to give one to each child. •     Class A had the least number of children in the class. •     Each of the other classes had 1 more child on the register than the previous class. •     150 programmes were handed out altogether.     How many children were in each class? 

Level 3

Apr 21, 2023

Exercise 17

2.

E

A market researcher approaches people at random in a street. What is the probability that the next person chosen at random will have a birthday on 5th November? 

A 1 in 7

B 1 in 12

C 1 in 30

D 1 in 52

E 1 in 365

Level 3

Apr 21, 2023

Exercise 17

3.

96

There are 1200 fish in a pond.   8% die from disease.      How many fish die from disease? 

Level 3

Apr 21, 2023

Exercise 17

4.

15 Mins

A car travels 11 miles at an average speed of 44 mph.     How many minutes does this journey take? 

Level 3

Apr 21, 2023

Exercise 18

1.

£135

A computer package is priced at £1415.   It can be bought for a £200 deposit and 9 equal monthly instalments.     How much would each monthly instalment be? 

Level 3

Apr 21, 2023

Exercise 18

2. To have a turn on the bouncy castle you must be taller than 90 cm. Who can have a turn on the bouncy castle? 

Aiden & Bertha

Level 3

Apr 21, 2023

Exercise 18

3.

6

To get money from a cash machine you need a card and a four digit Personal Identification Number (PIN).    Sarah can’t remember her PIN but she knows :                 •             her PIN contains the digits 1, 6, 8 and 9              •             1 is the first digit.    How many different numbers must she try to be sure of getting the correct number?  (List all the possible PINs to find the answer.) 

Level 3

Apr 21, 2023

Exercise 18

4.

36kg

A delivery of potatoes weighs 300 kg. 12% are found to be rotten and have to be thrown out. What weight is thrown out?

Level 3

Apr 21, 2023

Exercise 19

1.

45

You put £500 into a bank account. In a year your money increases by 9%.      Calculate this increase.

Level 3

Apr 21, 2023

Exercise 19

2.

12.45pm

 Mum puts on the oven to heat up for 15 minutes. She then puts in the chicken.  The chicken takes 2 hours to cook. It is ready at 3 o’clock.      When was the oven put on?

Level 3

Apr 21, 2023

Exercise 19

3.

£1.64

The price of some items is reduced in a sale.

   Was  SALE PRICE 

Ladder  £64·30   £61·52  

Drill  £23·28  £21·64  

Hammer  £11·99  £7·34  

How much would I save in the sale if I bought a drill? 

Level 3

Apr 21, 2023

Exercise 19

4.

18km

Linda can jog 3 kilometres in 10 minutes. If she keeps up the same pace.

How far will she jog in 1 hour?

Level 3

Apr 21, 2023

Exercise 20

1.

34

85 pupils go on a school trip. 40% of the pupils are boys.     How many boys are on the trip?

Level 3

Apr 21, 2023

Exercise 20

2.

D

A security padlock for a bicycle has a code made up of 4 numbers. Three of the digits are even and one is odd. When you add the four digits together their total is 25. Which of the codes is the correct one?

A 9,8,6,4

B 9,1,8,7

C 4,8,8,7

D 4,8,7,6

Level 3

Apr 21, 2023

Exercise 20

3.

2.27pm

A train was due to arrive at 1:50 pm. It was 37 minutes late.  

When did it arrive? 

Level 3

Apr 21, 2023

Exercise 20

4.

54

 I think of a number, add 13 and double that. My answer is 134.   What number did I think of? 

Level 3

Apr 21, 2023

Exercise 20

1.

B