Question 1
Here is a list of numbers.
From this list, write down
an even number
(1)
a multiple of 3
(1)
a prime number
(1)
Here is a list of numbers.
From this list, write down
an even number
(1)
a multiple of 3
(1)
a prime number
(1)
Change 3 litres into millilitres.
(1)
Change 6500 grams into kilograms.
(1)
Paula asks 16 members of her class the number of pets they each have. Here are her results.
1 2 2 4 0 1 2 1
3 3 4 1 1 0 3 2
Complete the frequency table for her results.
(2)
Write down the mode for the number of pets.
(1)
Work out the range for the number of pets.
(1)
The table gives the minimum temperature for January 2018 in each of six cities.
| City | Minimum temperature (°C) |
| Barcelona | 3 |
| Donetsk | −10 |
| Mexico City | −1 |
| Mombasa | 22 |
| New York | −15 |
| Sydney | 15 |
Which of these six cities has the lowest minimum temperature?
(1)
Work out the difference between the minimum temperature of Donetsk and the minimum temperature of Sydney.
The minimum temperature in Edmonton for January 2018 was 50°C less than the minimum temperature in Mombasa for January 2018
(1)
Work out the minimum temperature in Edmonton for January 2018
(1)
Write these decimals in order of size. Start with the smallest decimal.
0.9 0.035 0.003 0.539 0.5
(1)
Write 0.6 as a percentage.
(1)
(1)
Work out the difference between and 0.68 Give your answer as a decimal.
(2)
Here are the first five terms of a number sequence.
3 7 11 15 19
Write down the next term of the sequence.
(1)
Find the first number greater than 70 that is in the sequence.
Ada says, “96 is a number in the sequence”
(2)
Is Ada correct? You must give a reason for your answer.
(1)
The diagram shows three points, A, B and C, marked on a grid.
Write down the coordinates of point A.
The coordinates of the point D are (–2, –4)
(1)
On the grid, mark with a cross () the position of D. Label the cross D.
(1)
Find the coordinates of the midpoint of BC.
(2)
On the grid, draw the line with equation x = 4
(1)
Lucas is going on a country walk.
Lucas works out how long each part of his walk will take. This information is shown in the following table.
| Time taken | |
| Walk from home to Village A | 20 minutes |
| Walk from Village A to Village B | 35 minutes |
| Stop for lunch in Village B | 1 hour 15 minutes |
| Walk from Village B to home | 30 minutes |
Lucas leaves home at 11 10
At what time will Lucas get home?
(3)
Below is a conversion graph to change between metres and feet.
Use the graph to change
10 metres to feet,
(1)
50 feet to metres.
Joss lives 820 metres above sea level. Nicky lives 2850 feet above sea level.
(1)
Which is the greater, 820 metres or 2850 feet? You must show how you get your answer.
(2)
Hugo records the number of pairs of trainers sold in each of four shoe shops last Saturday. He is going to draw a pie chart for his results.
The incomplete table shows two of Hugo’s results and the sizes of three of the angles in his pie chart.
| Name of shop | Number of pairs of trainers | Angle in pie chart |
| ABC Shoes | ....................................................... | 30° |
| Kilian Stuart Sports | 18 | 45° |
| One Stop Shoes | 48 | .......................................................° |
| Superfast Trainers | ....................................................... | 165° |
Complete the table.
(4)
Write down all the factors of 9
(1)
Find the lowest common multiple (LCM) of 15 and 70
(2)
The diagram shows the plan of Sophia’s gym floor.
Sophia is going to paint all the gym floor.
Each tin of paint she is going to use covers an area of 20 m2
There is a special offer on the paint that Sophia is going to buy.
Work out the least amount of money that Sophia has to pay in order to buy all the paint she needs. Show your working clearly.
(5)
Factorise 25 f – 10
(1)
Make y the subject of the formula c = 5y – h
(2)
The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.
| Length of time (L minutes) | Frequency |
| 20 < L | 6 |
| 30 < L | 26 |
| 40 < L | 31 |
| 50 < L | 40 |
| 60 < L | 17 |
Write down the modal class.
(1)
Work out an estimate for the mean length of time spent by the 120 customers in the supermarket.
(4)
17Here is a list of ingredients needed to make apple crumble for 6 people.
Nadiya wants to make apple crumble for 14 people.
Work out the amount of butter she needs.
Alison makes apple crumble for a group of people.
She uses 630 g of oats.
(2)
Work out the number of people in the group.
At a cake sale, Michael sells some lemon cakes and some chocolate cakes.
the number of lemon cakes he sells: the number of chocolate cakes he sells = 2: 7
Michael sells a total of 162 cakes.
(2)
Work out the number of lemon cakes Michael sells.
(2)
The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF
CDF and ADE are straight lines. Angle BCD = 58°
Work out the size of angle DEF. Give a reason for each stage of your working.
(5)
Andreas, Isla and Paulo share some money in the ratios 3: 2: 5
The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives.
Andreas buys a video game for £48.50 with some of his share of the money.
Work out how much money Andreas has left from his share of the money when he has bought the video game.
(4)
Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%
Work out Himari’s salary after this increase.
Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%
(3)
Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.
(3)
Simplify g6 g4
(1)
Simplify (3cd4)2
(2)
Solve the simultaneous equations
4 x + 3 y = 17 x + 2 y = 5
Show clear algebraic working.
(3)
The diagram shows a right-angled triangle.
Calculate the value of x. Give your answer correct to one decimal place.
(3)
The diagram shows an isosceles triangle.
Work out the area of the triangle.
(4)
The diagram shows a solid cylinder with radius 3 m.
The volume of the cylinder is 72πm3
Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures.
(5)
The paper as printed
Spotted a mistake on this page?Report a problem