Question 1
On a circle, which of these is not a straight line? Circle your answer.
circumference radius chord diameter
[1 mark]
On a circle, which of these is not a straight line? Circle your answer.
circumference radius chord diameter
[1 mark]
Circle the expression that can be written as 3 cd
3 + c + d c + c + c + d c × c × c × d 3 × c × d
[1 mark]
Which two numbers, when added together, make a cube number? Circle your answer.
1 and 8 2 and 4 9 and 18 8 and 64
[1 mark]
Convert 2 kilograms into grams.
Circle your answer.
25 grams 250 grams 2500 grams 25 000 grams
[1 mark]
Give your answer to 2 decimal places.
[2 marks]
George buys some food for £16.55 He pays the exact amount with two notes and four coins. List the notes and coins.
[2 marks]
Choose one of the following to make a correct statement each time.
is less than is equal to is greater than
When a = 3 4 a a + 7
When b = 8 2 b – 6 18 – b
When c = 0.5 3 c c + 1 When d = –1 d d2
[4 marks]
Write down all the whole numbers that are between 20 and 50 and have a difference of 4 between their digits.
[2 marks]
Rearrange m = p + 2 to make p the subject.
[1 mark]
A line joins A (1, 1) and B (6, 1) on a centimetre grid.
P is a point on the line AB such that AP: PB = 2: 3 C is a point such that angle APC is 90 ° and PC = 4 cm Write down the coordinates of the two possible points for C.
[3 marks]
At a school there are six lessons in a day. In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time. How many minutes long is the final lesson?
[2 marks]
In fact, the first lesson of the day lasts longer than the other lessons. The other lessons last the same amount of time. What does this tell you about the length of the final lesson? Tick one box.
[1 mark]
A bottle contains 1.5 litres of water. 650 millilitres of the water is poured into a jug. How much water is left in the bottle? State the units of your answer.
[3 marks]
The cost of 5 kg of potatoes is £3.20
Work out the total cost of 12 kg of potatoes and 1 kg of carrots.
[3 marks]
The term-to-term rule for a sequence is
The 1st term of the sequence is 36 Work out the 3rd term.
[2 marks]
The term-to-term rule for a different sequence is
The 2nd term of this sequence is 60 Work out the 1st term.
[2 marks]
The table shows the cost of hiring a concrete mixer for up to 5 days.
| Number of days | 1 | 2 | 3 | 4 | 5 |
| Cost | £14 | £24 | £34 | £44 | £54 |
Eva hires the concrete mixer for 5 days. She says, “The rate is £14 per day because the cost for 1 day is £14” Is she correct? Give a reason for your answer.
[2 marks]
x is a negative number. Which statement is correct? Tick one box.
[1 mark]
The table shows the number of films watched one week by 30 people.
Write down the modal number of films watched.
[1 mark]
Work out the mean number of films watched per person.
[3 marks]
Jenny leaves home at 06.00 She runs for 3 hours. Here is a distance-time graph of her run.
How far from home is she after 3 hours?
[1 mark]
For the next hour she rests. She then gets a bus home. She arrives home at 11.30 Complete the distance-time graph. Assume the bus travels at a constant speed.
[2 marks]
S and T are rectangles. S has dimensions (x + 2) and x. Some of these rectangles make the larger rectangle shown.
Work out an expression for the perimeter of T. Give your answer in its simplest form.
[3 marks]
a: b = 7: 1 Circle the correct equation.
a = 7 b b = 7 a a = 6 b b = 6 a
[1 mark]
A spinner has five equal sections.
Write a number in each section so that the numbers are all different factors of 100
[3 marks]
Here is a small cuboid and a cube.
Small cuboids and cubes are stacked in layers to make larger cuboids. Here is a cuboid made with four layers.
The pattern is continued to make a cuboid with volume 336 cm3 How many cubes are used?
[3 marks]
Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack 40 tiles £18 Small pack 28 tiles £14 Special offer 25% reduction when you buy 3 or more large packs
Work out the cheapest cost for Tom to buy the packs of tiles he needs.
[3 marks]
Tom is also tiling a floor. The floor is a rectangle with length 600 cm and width 240 cm Each tile is a square with side 40 cm Tom uses this method to work out the number of tiles he needs.
Number of tiles that will fit along the width = 240 ÷ 40 = 6 Total number of tiles needed = 15 + 6
Give a reason why Tom’s method is wrong.
[1 mark]
An equilateral triangle has side length 16 metres. Using ruler and compasses only, construct a scale drawing of the triangle. Use the scale 1 centimetre represents 2 metres.
Scale: 1 cm represents 2 m
[3 marks]
In a choir there are 35 men and 48 women. The probability that a man chosen at random wears glasses is The probability that a woman chosen at random wears glasses is
Work out the number of people in the choir who wear glasses.
[3 marks]
A person is chosen at random from the choir. Work out the probability that the person does not wear glasses.
[2 marks]
26 Density =
The mass is divided by 2 and the volume is multiplied by 4 What happens to the density? Circle your answer.
× 2 ÷ 2 × 8 ÷ 8
[1 mark]
Solve the simultaneous equations 7 x + 2 y = 36 3 x + 2 y = 16
[3 marks]
The pie chart shows information about people at a theme park.
There were 450 more women than men. Work out the number of children.
[3 marks]
The graph shows how much Molly is paid for working for up to 40 hours. She receives a basic rate of pay for the first 35 hours worked a higher rate of pay for the next 5 hours worked.
Work out the difference between the higher rate of pay and the basic rate of pay. Give your answer in £ per hour.
[3 marks]
Work out cube root of 512: reciprocal of 0.4 Give your answer in the form n: 1
[3 marks]
Use trigonometry to work out the value of x.
[2 marks]
The paper as printed
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