Question 1
Write the number 18 475 correct to the nearest thousand.
(1)
Write the number 18 475 correct to the nearest thousand.
(1)
Write 0.3 as a percentage.
(1)
Write down the mathematical name for the type of angle marked y.
(1)
Write these numbers in order of size. Start with the smallest number. 0.21 0.2 0.03 0.1 0.16
(1)
Find the square root of 64
(1)
Ryan buys 4 cakes at £1.30 each 2 identical tins of soup. Ryan pays with a £10 note. He gets £1.80 change. How much does Ryan pay for each tin of soup?
(4)
The table shows the number of hours that Lena and Pavel worked on each of four days last week.
| Wednesday | Thursday | Friday | Saturday | |
| Lena | 6 | 9 | 8 | 6 |
| Pavel | 7 | 6 | 5 | 6 |
On the grid, draw a suitable diagram or chart for this information.
(4)
OA, OB and OC are three straight lines.
Here is a number machine.
Work out the output when the input is 13
(1)
Work out the input when the output is 28
(2)
Show that there is a number for which the output is the same as the input.
(2)
There are 24 cows and 36 sheep on a farm. Write as a ratio the number of cows to the number of sheep. Give your ratio in its simplest form.
(2)
Work out –12 ÷ –4
(1)
Find the value of 25
(1)
Write one pair of brackets in this calculation so that the answer is correct. 30 ÷ 3 + 2 − 4 = 2
(1)
The diagram shows a triangle and a rectangle.
The perimeter of the rectangle is a quarter of the perimeter of the triangle. Work out the length of the rectangle.
(4)
There are only £10 notes and £20 notes in a wallet. Ali takes at random a note from the wallet.
Write down the probability that Ali takes a note with a value of more than £5
There are only 1p coins and 2p coins in a bag. The total value of the coins in the bag is 40p The total value of the 1p coins is the same as the total value of the 2p coins. Simon takes at random a coin from the bag.
(1)
Find the probability that Simon takes a 1p coin.
(2)
Tessa recorded the times that 15 adults took to complete a run. She showed her results in a stem and leaf diagram.
Find the range.
Tessa also recorded the times that 15 children took to complete the run. For the children, the median was 75 minutes.
(2)
Compare the times that the adults took with the times that the children took.
(1)
16Batteries are sold in packs of 4, in packs of 8 and in packs of 12
A pack of 4 batteries costs £1.80 A pack of 8 batteries costs £3.20 A pack of 12 batteries costs £6.00 Which pack gives the best value for money? You must show how you get your answer.
(3)
18Write down the value of 100
(1)
Describe fully the single transformation that maps triangle A onto triangle B.
(2)
Here are the first four terms of an arithmetic sequence. 1 5 9 13 Find an expression, in terms of n, for the nth term of this sequence.
(2)
Kevin was asked to work out 2 ×
Here is his working and his answer.
Kevin’s answer is wrong.
(2)
The diagram shows a plan of a floor.
Petra is going to cover the floor with paint. Petra has 3 tins of paint. There are 2.5 litres of paint in each tin. Petra thinks 1 litre of paint will cover 10 m2 of floor.
Assuming Petra is correct, does she have enough paint to cover the floor? You must show all your working.
(4)
Actually, 1 litre of paint will cover 11 m2 of floor.
Does this affect your answer to part (a)? You must give a reason for your answer.
(1)
Here is a Venn diagram.
Write down the numbers that are in set P′
A number is chosen at random from the universal set,E
(1)
Find the probability that this number is in the set P Q
(2)
Sophie drives a distance of 513 kilometres on a motorway in France. She pays 0.81 euros for every 10 kilometres she drives.
Work out an estimate for the total amount that Sophie pays.
(3)
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
(1)
Here is a straight line L drawn on a grid.
Find an equation for L.
M is a different straight line with equation y = 5x
(3)
Write down the equation of a straight line parallel to M.
(1)
Kasim has some small jars, some medium jars and some large jars. He has a total of 400 jars. of the 400 jars are empty. For the empty jars, number of small jars: number of medium jars = 3: 4 number of medium jars: number of large jars = 1: 2 Work out the percentage of Kasim’s jars that are empty small jars.
(5)
In a sale, normal prices are reduced by 30% The sale price of a TV is £280 Work out the normal price of the TV.
(2)
The paper as printed
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