Write these numbers in order of size. Start with the smallest number.
83 148 46 229 99
(1)
Write these decimals in order of size. Start with the smallest decimal.
0.25 0.5 0.46 0.08 0.417
(1)
Write 0.81 as a fraction.
(1)
Find the number that is exactly halfway between 0.2 and 0.3
(1)
Helena recorded the shoe sizes of seven of her friends.
Here are the results.
2 9 10 6 7 9 4
Write down the mode of the shoe sizes.
(1)
Here is a 3-D shape.
Write down the mathematical name of this shape.
(1)
Write down the number of edges of this shape.
Here are six quadrilaterals on a grid.
Two of the quadrilaterals are congruent.
(1)
Write down the letters of these two quadrilaterals.
(1)
Write down the letter of the quadrilateral with no lines of symmetry.
(1)
Change 5000 millilitres into litres.
(1)
Find the difference between a length of 3 metres and a length of 85 centimetres. Give your answer in centimetres.
(2)
Simplify a + a + a + a + a
(1)
Simplify b 
c 
7
(1)
Here is a number machine.
Find the output when the input is 10
(1)
Find the output when the input is −2
(1)
Raymond sells 80 burgers for a total of £176 
of the burgers are large. Each large burger costs £3
The remaining burgers are small.
Work out the cost of one small burger.
(4)
Mark is going to book a room in a hotel for 7 nights.
A room in the hotel costs the same amount for each night. Mark knows that the room costs 150 euros for 2 nights.
The hotel also charges an additional tax of 5 euros for each night.
Work out the total cost of the room and the tax for 7 nights.
(3)
Remy chooses one food item and one drink for his breakfast.
He can choose one food item from cereal (C) or fruit (F) or a pastry (P) He can choose one drink from milk (M) or juice (J) or tea (T)
Write down all the possible combinations that Remy can choose.
Ahmed and Bryn share some blueberries in the ratio 3: 4
(2)
What fraction of the blueberries does Bryn get?
(1)
10This graph can be used to change between miles and kilometres.
Use the graph to change 25 miles to kilometres.
Amy gets travel expenses when she drives as part of her job. She gets $0.80 for every kilometre she drives.
For one journey Amy got $19.20
(1)
Work out the number of miles she drove.
(2)
The bar chart gives information about the results of the games played by a school team.
The team gained
3 points for each game it won 1 point for each game it drew 0 points for each game it lost
The team drew 14 games.
Work out the total number of points the team gained.
(3)
The scale drawing shows the positions of two towns, Harvel and Ebury.
Work out the real distance, in kilometres, between Harvel and Ebury.
On Saturday, Luisa cycles directly from Harvel to Ebury.
Luisa leaves Harvel at 12 50 She arrives at Ebury at 17 15
(3)
Work out the time Luisa takes to cycle directly from Harvel to Ebury.
(2)
Factorise 15 
5x
d = 5p + 7r
(1)
Work out the value of p when d = 35 and r = 2
Sweets are sold in small packets and large packets.
There are 12 sweets in a small packet. There are 25 sweets in a large packet.
Ben buys m small packets of sweets and n large packets of sweets.
(3)
Write an expression, in terms of m and n, for the total number of packets of sweets Ben buys.
(1)
Write an expression, in terms of m and n, for the total number of sweets Ben buys.
(2)
Here is a list of ingredients needed to make 6 biscuits.
Asha makes some of these biscuits. She uses 450 g of flour.
How many biscuits does Asha make?
Julie makes 84 of these biscuits.
(2)
What weight of butter does Julie use?
Asha and Julie pay a total of 624 rupees for the ingredients. The ratio of the amount Asha pays to the amount Julie pays is 3: 5
(2)
Joseph has some counters in a bag.
7 of the counters are red 5 of the counters are blue The rest of the counters are green
Joseph is going to take at random a counter from the bag. The probability that the counter is green is 
Work out the number of green counters in the bag.
(3)
The diagram shows a quadrilateral ACDF
ABEF is a trapezium.
BCDE is a parallelogram.
FE = 26 cm AB = 18 cm BC = 12 cm
The area of the parallelogram BCDE is 96 cm2
Work out the area of the trapezium ABEF
(3)
Write 1400 as a product of powers of its prime factors. Show your working clearly.
(3)
Solve the simultaneous equations
Show clear algebraic working.
(3)
On the grid above, reflect shape A in the line y = x
(2)
On the grid above, enlarge shape B by scale factor 2 with centre (1, 1)
(2)
Joshua is going to cover a floor with tiles for a customer. The area of the floor is 45 m2
Joshua buys one box of tiles for each 1.5 m2 of floor area. Each box of tiles costs £64
Joshua also buys 5 bags of tile adhesive. Each bag of tile adhesive costs £12
Joshua charges the customer £3000
Work out his percentage profit. Give your answer correct to one decimal place.
(5)
Write down the value of 50
(1)
Simplify fully 
2d4e5 
3
(2)
The mass of a silver coin is 48.3 g The density of silver is 10.5 g/cm3
Work out the volume of the silver coin.
(2)
The mean of 7 numbers is 60
The mean of 3 of the numbers is 46
Work out the mean of the other 4 numbers.
(3)
In a sale, normal prices are reduced by 15%
The sale price of a dishwasher is 612 Swiss francs.
Work out the normal price of the dishwasher.
(3)
A straight line, L, is parallel to the line with equation y = 2 – 5 x The line L passes through the point (0, 6)
Find an equation of the line L
(2)
The diagram shows two triangles, ADE and CDB
ABD is a straight line.
AE = 28 cm ED = 45 cm AB = 21 cm CD = 35 cm
angle AED = angle CBD = 90°
Work out the area of triangle CDB Give your answer correct to 3 significant figures.
(5)
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