Question 1
Circle the expression that can be written as 2 y
[1 mark]
Circle the expression that can be written as 2 y
[1 mark]
Circle the decimal that is greater than and less than
0.32 0.035 0.4 0.24
[1 mark]
What is 625 as a power of 5 ? Circle your answer.
[1 mark]
Circle the order of rotational symmetry of this drawing.
0 2 4 8
[1 mark]
Gemma has four groups of friends on a social media site. The table shows the number of friends in each group.
| Group | Number of friends |
| Family | 8 |
| Netball | 8 |
| School | 26 |
| Guides | 11 |
Which group is the mode?
[1 mark]
Gemma wants a pictogram to show the information. She has drawn the first two rows. Complete the pictogram. Remember to complete the key.
[3 marks]
e is 3 more than d. f is 5 less than d.
Write an expression for e in terms of d.
[1 mark]
Write an expression for f in terms of d.
[1 mark]
Work out e – f Simplify your answer.
[2 marks]
The numbers 1 to 12 are put in a grid. 2, 4, 5, 7, 10 and 12 are shown.
Each of the four sides of the grid must add up to 26 Complete the grid using the numbers 1, 3, 6, 8, 9 and 11
[3 marks]
In this question, use 1 foot = 12 inches 1 inch = 2.5 centimetres Change 5 feet 8 inches to centimetres.
[3 marks]
Which of these numbers has exactly four factors? Circle your answer.
4 8 12 16
[1 mark]
Nick has a 6-digit code. He remembers it as three 2-digit numbers. The first number is between 10 and 20 The second number is 3 times the first number. The third number is 5 times the first number. All six digits are different. Work out the code.
[3 marks]
How many minutes are there in 5 hours? Circle your answer.
315 325 515 525
[1 mark]
Here is a formula for the amount of water needed to cook rice. w = 1.5 r + 0.5 w is the number of cups of water needed r is the number of cups of rice to be cooked
How many cups of water are needed to cook 7 cups of rice?
[2 marks]
How many cups of rice can be cooked with 20 cups of water?
[3 marks]
Use your calculator to work out 9.952 × 29.8 Give your answer as a decimal. Write down your full calculator display.
[1 mark]
Is your answer to part (a) sensible? Use approximations to decide. You must show your working.
Tick a box.
[3 marks]
The graph of y = 4 – x for values of x from –2 to 5 is shown on the grid.
On the grid, draw the graph of y = 2 x – 5 for values of x from –2 to 5
[3 marks]
Use your graph to solve 2 x – 5 = 4 – x
x =
[1 mark]
BCD is a straight line. Triangle ABC is equilateral. CE = DE
Work out the size of angle x.
[4 marks]
Amba is working out the size of an interior angle of a regular octagon.
Her method is Interior angle = 360 ÷ 8 Is her method correct?
Give a reason for your answer.
[1 mark]
Here is a map of an island with cities A, B and C. The straight lines represent roads. Scale: 1 cm represents 200 km
A is due West of B. Write down the bearing of A from B.
[1 mark]
Umar drives from A to B on the route shown. Kaz drives from B to C on the route shown. Use the map to work out how much further Umar drives than Kaz. You must show your working.
[5 marks]
A shop sells raincoats and umbrellas. The scatter graph shows the monthly sales for 12 months.
Write down the type of correlation shown by the graph.
[1 mark]
The manager expects the sales of umbrellas next month to be £60 Draw a line of best fit to estimate the sales of raincoats next month.
[3 marks]
Multiply out x (x – 4) Circle your answer.
[1 mark]
a: b = 5: 2 How many times larger is a than b ? Circle your answer.
0.4 1.5 2.5 3
[1 mark]
A circle has radius 4.2 cm Work out the length of the circumference. Give your answer to 1 decimal place.
[3 marks]
The circle below has centre O. Draw a sector on the circle.
[1 mark]
Two ordinary fair dice are rolled.
Complete the tree diagram.
[1 mark]
Work out the probability that both dice land on a number less than 3
[1 mark]
Match each sequence to its description. One has been done for you.
[4 marks]
The table shows information about the population of a city.
| Population in 2001 | Population in 2011 |
| 420 000 | 480 000 |
Liam claims, “From 2011 to 2021 the population of the city will increase by the same percentage as from 2001 to 2011” He works out, population increase from 2001 to 2011 = 480 000 – 420 000 = 60 000 population in 2021 = 480 000 + 60 000 = 540 000 Does the population of 540 000 match his claim? You must show your working.
[3 marks]
On three days, Ali throws darts at a target. Here are his results.
| Number of throws | Number of hits | Number of misses | |
| Monday | 20 | 15 | 5 |
| Tuesday | 30 | 22 | 8 |
| Wednesday | 40 | 17 | 23 |
| Total | 90 | 54 | 36 |
Work out two different estimates for the probability of Ali hitting the target.
[2 marks]
Which of your two answers is the better estimate for the probability of Ali hitting the target? Give a reason for your answer.
[1 mark]
Theo starts with savings of £18 James starts with no savings. Each week from now, Theo will save £4.50 and James will save £4 In how many weeks will Theo and James have savings in the ratio 15: 8 ?
[3 marks]
A container is a hemisphere of radius 30 cm
Sand fills the container at a rate of 4000 cm3 per minute. Does it take less than a quarter of an hour to fill the container? You must show your working.
[3 marks]
The length of each side of a regular pentagon is 8.4 cm to 1 decimal place.
Complete the error interval for the length of one side.
[2 marks]
Complete the error interval for the perimeter.
[1 mark]
The paper as printed
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