Question 1
Write 0.27 as a fraction.
[1 mark]
Write 0.35 as a percentage.
[1 mark]
Write 0.27 as a fraction.
[1 mark]
Write 0.35 as a percentage.
[1 mark]
Simplify fully x + 4 x
[1 mark]
Simplify fully 5 × 2 w
[1 mark]
Simplify fully 2 m ÷ m
[1 mark]
Simplify fully y × y × y
[1 mark]
Here is a quadrilateral.
Write down the letter of the obtuse angle.
[1 mark]
Write down the letter of an acute angle.
[1 mark]
How many lines of symmetry does the shape have?
[1 mark]
One lettuce costs £1.29
How much do seven of these lettuces cost?
[1 mark]
Five cucumbers cost £6.40 in total.
How much do two of these cucumbers cost?
[1 mark]
A company sells three types of bottle. The pictogram shows how many bottles they sold one week.
The company sold more plastic bottles than glass bottles that week.
How many more?
[2 marks]
The company sells each steel bottle for £17.50
Work out the total amount of money made from selling steel bottles that week.
[3 marks]
Shape ABCDE is drawn on a centimetre grid.
Complete this statement.
[1 mark]
On this centimetre grid, draw a rectangle with the same area as shape ABCDE.
[2 marks]
Use a ruler for this question. Here is an accurate drawing of an equilateral triangle.
By measuring, work out the perimeter of the triangle. State the units of your answer.
[3 marks]
There are 56 cubes in a box. The cubes are green, red, blue or white. 17 cubes are green. There are an equal number of red, blue and white cubes.
How many red cubes are in the box?
[2 marks]
24 more cubes are added to the box. A cube is picked at random. The probability that the cube is green is 0.4
How many of the 24 cubes added to the box are green?
[3 marks]
An electric car uses 1 unit of electricity to travel 3 miles. 1 unit of electricity costs 50 pence.
Work out the cost of electricity, in pounds, to travel 270 miles.
[3 marks]
Leema buys 2 metres of linen at £8.50 per metre. She also buys 5 metres of cotton. The total cost is £38
What is the cost of one metre of cotton?
[4 marks]
Buttons cost 65p each. The greatest number of buttons Leema can buy with £5 is 7 She says, “The greatest number of buttons I can buy with £10 is 14 because £10 is double £5”
Show working to support your answer.
[2 marks]
Here is a table of values for the equation y = 3 x + 1
| x | 1 | 2 | 3 | 4 |
| y | 4 | 7 | 10 | 13 |
Draw the graph of y = 3 x + 1 for values of x from 1 to 4
[2 marks]
Work out the value of y when x = 2.5
y =
[2 marks]
A code has five different digits written in order, starting with the smallest. The last digit is the only square number. The middle digit is the only even number.
Work out the code.
[3 marks]
Four numbers have a mean of 10
Three of the numbers are 5 8 9
Work out the other number.
[3 marks]
Rearrange d = h – 4 to make h the subject.
h =
[1 mark]
Rearrange p
to make w the subject.
w =
[1 mark]
A linear sequence begins
2 5 8 11
Work out an expression for the n th term.
[2 marks]
The diagram shows a circle, centre O, and three straight lines.
Use one word to describe each shaded region. Choose from
arc chord sector segment tangent
[2 marks]
Bag A and bag B contain counters.
Complete the tree diagram.
[2 marks]
One counter is taken at random from each bag.
Work out the probability that one is red and one is white.
[2 marks]
Use trigonometry to work out the value of x.
[3 marks]
The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg.
Work out the original mass of the iceberg. Give your answer in standard form.
[3 marks]
A chef has a tub of blueberries. She wants to use all the blueberries put the same number of blueberries on each dessert.
D is the number of desserts. b is the number of blueberries on each dessert.
What does the constant k represent? Tick the correct box.
[1 mark]
Complete the table.
| b | 2 | 6 | |
| D | 120 | 30 |
[2 marks]
A fair spinner has six equal sections, each with the number 5, 6, 7 or 8 Each number appears at least once. P(even number) = P(7)
Work out P(5) You may use the blank spinner to help you.
[3 marks]
A different spinner has ten sections, each labelled A, B, C or D.
| A | B | C | D | |
| Probability | 0.1 | 0.5 | 0.2 | 0.3 |
Give one reason why there must be a mistake in the table.
[1 mark]
Here is a sketch of the graph y = – 2 x + 6
Complete the coordinates of C and D.
[2 marks]
Here is a sketch of a quadratic graph.
Complete the following statements.
[2 marks]
Archie flips a biased coin 200 times. Here is some information about the outcomes after each 50 flips.
Work out the best estimate for the probability of flipping a head. Give a reason for your answer.
[2 marks]
A lion is sprinting in a straight line away from its den. The graph shows the lion’s distance from the den.
Work out the speed of the lion in metres per second.
[3 marks]
The paper as printed
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