Question 1
Change 300 centimetres into metres.
(1)
Change 300 centimetres into metres.
(1)
(1)
Work out 2.5²
(1)
Write the following numbers in order of size. Start with the smallest number. 1 − 4 0 7 − 6 − 3 2
(1)
The graph shows some information about car production in the UK over eight years.
For how many of these years was car production more than 1.4 million?
(1)
In which two years was car production the same?
(1)
What fraction of the shape is shaded? Give your answer in its simplest form.
(2)
Karim buys 200 tiles. The tiles are sold in boxes. There are 25 tiles in each box. Each box of tiles costs £9.75 Work out the total cost of the boxes of tiles Karim buys.
(3)
Work out the value of (6 − 2.5)(8 + 4)
(1)
Write down the reciprocal of 20
(1)
The graph shows information about the time, in minutes, a liquid has been cooling and the temperature of the liquid in ° C.
What is the temperature of the liquid at time 2 minutes?
(1)
Pam recorded the time when the liquid had a temperature of 50° C.
Write down this time.
(1)
Pam says that the temperature of the liquid drops more in the first 3 minutes of cooling than it does between time 9 minutes and time 12 minutes.
Is Pam correct? Give a reason for your answer.
(1)
PQRS is a quadrilateral. PST is a straight line.
Find the value of y.
(3)
Here are the first five terms of a number sequence. 45 40 35 30 25
Write down the next two terms of this sequence.
A term of this sequence is −5
(1)
Which term?
The nth term of a different sequence is given by the expression 4n+ 3
(1)
Find the 9th term of this sequence.
(1)
Work out the perimeter of this shape.
(2)
Here are the costs of the same type of batteries in two shops.
Harry needs to buy at least 30 batteries. He assumes that he has to buy batteries in whole packs. Harry wants to buy the batteries as cheaply as possible from the same shop.
Which shop should he buy the batteries from, shop A or shop B? You must show all your working.
(4)
Harry’s assumption is wrong. He can buy single batteries for 40p each in shop A and for 45p each in shop B.
Does this affect which of these two shops Harry should buy the batteries from? Give a reason for your answer.
(1)
There are only 5 blue cards, 2 green cards and 4 red cards in a pack. Isabella is going to take at random one card from the pack.
Write down the probability that Isabella will take a blue card.
Ken is going to throw a biased dice once. The probability that the dice will land on six is 0.3
(2)
What is the probability that the dice will not land on six?
(1)
Draw accurately an isosceles triangle with sides of length 8 cm, 6 cm and 6 cm. One side of the triangle has been drawn for you.
8 cm
(2)
18This graph can be used to change between US dollars ($) and British pounds (£).
Rosie bought a ring in the USA. She paid 345 US dollars. Work out in pounds the amount Rosie paid for the ring.
(3)
19Here are the types of sandwiches sold in a cafe last week.
56 tuna sandwiches were sold. This was 40% of the total number of sandwiches sold.
Work out the total number of sandwiches sold.
(2)
Of the 56 tuna sandwiches sold, 18 were sold on Friday.
Write 18 as a percentage of 56 Give your answer correct to the nearest whole number.
(2)
Akhtar, Ben and Carl each have some money. Akhtar has £65 Ben has £100 Carl has three £5 notes, one £20 note and some £10 notes. The mean amount of money per person is £80 How many £10 notes does Carl have?
(4)
Malik is going to throw a fair coin 50 times.
Write down an estimate for the number of times the coin will land on heads.
(1)
Paula and Simon are trying to find out if a different coin is biased. Paula throws this coin 10 times. She records the number of times the coin lands on heads. Simon throws the same coin 100 times. He records the number of times the coin lands on heads.
Whose results will be more useful in deciding if the coin is biased? Give a reason for your answer.
(1)
Here is a solid made from a square-based pyramid and a cube. Each edge of the solid has length 6 cm.
On the centimetre grid, draw the plan of this solid.
(2)
Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h. Work out the total time Andy takes. Give your answer in hours and minutes.
(3)
A number, m, is rounded to 1 decimal place. The result is 9.4 Complete the error interval for m.
(2)
Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9 m. Grass seed is sold in 2 kg boxes. Maisie wants to make a rectangular lawn 10 m by 14 m. She has 5 boxes of grass seed.
Has Maisie got enough grass seed to make a lawn 10 m by 14 m? You must show all your working.
(4)
Maisie opens the 5 boxes of grass seed. She finds that 4 of the boxes contain 2 kg of grass seed. The other box contains 1 kg of grass seed.
Does this affect whether Maisie has enough grass seed to make her lawn? Give a reason for your answer.
(1)
Amanda has two fair 3-sided spinners.
Amanda spins each spinner once.
Complete the probability tree diagram.
(2)
Work out the probability that Spinner A lands on 2 and Spinner B does not land on 2
(2)
Use these graphs to solve the simultaneous equations 5 x − 9 y = −46 y = − 2 x
(1)
Use this graph to find estimates for the solutions of the quadratic equation x² − 4x + 2 = 0
(2)
29The diagram shows a solid triangular prism.
The prism is made from wood with a density of 0.8 g/cm³ Work out the mass of this prism.
(3)
The paper as printed
Spotted a mistake on this page?Report a problem