Here is a list of numbers.
2 8 14 15 16 18 20
From this list, write down
the odd number
(1)
the multiple of 6
(1)
the square number
(1)
the prime number
(1)
two numbers with a sum of 26
(1)
Here are 6 counters. Each counter has a number on it.
Finn takes at random one of these counters.
Select with a tick (
) the word that best describes the likelihood that Finn takes a counter with the number 2 on it.
(1)
Select with a tick (
) the word that best describes the likelihood that Finn takes a counter with the number 3 on it.
(1)
Select with a tick () the word that best describes the likelihood that Finn takes a counter with a number greater than 4 on it.
(1)
Write down the mathematical name of this 3‑D shape.
(1)
How many faces does this shape have?
(1)
How many vertices does this shape have?
Here is a different 3‑D shape.
Marie makes a model of the shape. She uses a length of wire to make each edge of the model. Each edge of the model is 5 cm long.
Marie has 70 cm of wire.
(1)
What length of wire does she have left after making the model?
(2)
Simplify 10y – y
(1)
Simplify 3p
4p
(1)
Solve 7x = 42
(1)
Solve n + 6 = 5
(1)
Zoya buys a book and some pencils.
The book costs £6.90 Each pencil costs £0.55
Zoya has a total of £15 to spend on the book and the pencils. She buys as many pencils as she can.
Work out how many pencils she buys.
(3)
Write down all the factors of 10
(1)
Find the lowest common multiple (LCM) of 18 and 60
(2)
Write these decimals in order of size. Start with the smallest decimal.
0.5 0.54 0.45 0.504 0.405
(1)
Write 0.08 as a percentage.
(1)
Find the number that is exactly halfway between 
and 0.88
(2)
The two‑way table shows some information about the desserts chosen at lunch yesterday by the 80 students from Year 5 and Year 6. Each student chose one dessert from apple pie or fruit or ice cream.
What fraction of these 80 students were in Year 5 and chose apple pie? Give your answer in its simplest form.
(2)
BCD is an isosceles triangle with BD = CD ABC is a straight line. ABDE is a quadrilateral.
Work out the value of x Give a reason for each stage of your working.
(4)
The graph below can be used to change between dollars and Danish krone.
Change 40 dollars to Danish krone.
(1)
Change 350 Danish krone to dollars.
Robert needs 950 Danish krone to pay for a hotel stay. He has 170 dollars.
(1)
Show that Robert has enough money to pay for his hotel stay.
(2)
Work out the value of 
Give your answer as a decimal. Write down all the figures on your calculator display.
(2)
Write your answer to part (a) correct to 3 significant figures.
(1)
Use Aarav’s rule to work out an estimate for the time this bus journey takes.
A different bus journey takes 55 minutes. There are 8 bus stops on the route.
(2)
Use Aarav’s rule to work out an estimate for the distance of this bus journey.
(3)
Tom puts boxes into a shipping container.
The container is a cuboid 10 metres by 2.4 metres by 2.4 metres. Each box is a cube of side 40 centimetres.
Work out the greatest number of these boxes that Tom can put into the container.
(3)
The accurate scale drawing shows the positions of two lighthouses, S and T
Find, by measuring, the bearing of lighthouse T from lighthouse S
A boat is on a bearing of 084
from S The boat is 13 km from T
(1)
On the diagram, mark with a cross (X) the position of the boat. Label the cross B
(3)
The table shows information about the frame size, in cm, of 60 bicycles sold in a shop.
| Frame size (Scm) | Frequency |
30  S  36 | 4 |
| 36 S 42 | 14 |
| 42 S 48 | 18 |
| 48 S 54 | 19 |
| 54 S 60 | 5 |
Write down the modal class.
(1)
Work out an estimate for the mean frame size.
(4)
The diagram shows a solid triangular prism.
Work out the total surface area of the triangular prism. Give your answer correct to 3 significant figures.
(3)
Here is a list of six numbers written in order of size.
x 5 y z 10 12
qhe=numbers=h~$ve= a range of 9 a median of 8 a mode of 10
Find the value of x, the value of y and the value of z
(3)
Simplify w12 
w3
(1)
C grams of chocolate is shared in the ratios 2: 5: 8 The difference between the largest share and the smallest share is 390 grams.
Work out the value of C
(3)
Solve the simultaneous equations
x + 2 y = 15 4 x – 6 y = 4
Show clear algebraic working.
(3)
Write 9.3210–5as an ordinary number.
(1)
Work out 3
105 – 6
104 Give your answer in standard form.
(2)
Work out (31055) (6
1065) Give your answer in standard form.
(2)
The diagram shows an isosceles triangle ABC
AB = 7 cm AC = BC = ycm
The area of the triangle is 42 cm2
Work out the value of y
(4)
R and T are points on a circle, centre O
RT = 12 cm M is the midpoint of RT Angle ROM = 52
Work out the area of the circle. Give your answer correct to 3 significant figures.
(4)
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