Question 1
Convert 800 centimetres to metres.
[1 mark]
Convert 800 centimetres to metres.
[1 mark]
The temperature was – 11°C and increases by 5°C
Work out the new temperature.
[1 mark]
Here is a grid.
What percentage of the grid is shaded?
[1 mark]
Here is a different grid.
What percentage of the grid is shaded?
[1 mark]
Complete the bank statement.
| Date | Description | Credit (£) | Debit (£) | Balance (£) |
| 01/11/2021 | Starting balance | 736.28 | ||
| 05/11/2021 | Rent | 450.00 | ||
| 14/11/2021 | Refund | 25.00 | ||
| 27/11/2021 | Wages | 1830.29 |
[3 marks]
Put all the numbers 4, 5, 6, 10 and 20 into the grid so that the numbers in each row and each column multiply to 120
[3 marks]
The graph below is used to convert between pounds (£) and Norwegian krone (kr).
Convert 720 krone into pounds.
[1 mark]
Convert £500 into krone.
[2 marks]
Connor is estimating the answer to 385 + 1479
He rounds each number to the nearest 10
Work out his estimate.
[2 marks]
Connor says, “My estimate will be more than the exact answer.”
How does he know this without working out the exact answer ?
[1 mark]
Here are the salaries, in £, of the 6 workers in a company.
18 300 20 700 21 500 21 500 21 500 99 000
Why is the mean not the best average to represent the salaries?
[1 mark]
Zoe’s mass is 55 kilograms.
Work out her mass in stones and pounds. Use 1 kilogram = 2.2 pounds 14 pounds = 1 stone
[3 marks]
A sauce is made from cream and stock in the ratio cream: stock = 1: 6
How much sauce can be made using 80 millilitres of cream?
[2 marks]
A different sauce is made from olive oil and tomato juice in the ratio olive oil: tomato juice = 1: 14
What fraction of this sauce is olive oil?
[1 mark]
Multiplying y by 6 gives the same result as adding 15 to y
Write this as an equation.
[2 marks]
Show that the value of y is not 4
[1 mark]
A golf club is organising a trip for 42 people. The costs are shown in the table.
Each minibus can hold 15 people.
Each person will play 2 games of golf.
The cost of the trip will be shared equally by the 42 people.
Work out the cost per person.
[5 marks]
An ordinary fair dice is rolled ten times. Here are the first nine results.
6 1 3 2 1 5 5 5 5
Write down the probability of getting a 5 on the tenth roll.
[1 mark]
A rectangle is drawn on a square grid.
On the grid, draw a congruent rectangle.
[1 mark]
Here is the rectangle on a different square grid.
On this grid, draw a similar rectangle which is not congruent.
[1 mark]
A box contains 36 chocolates. The chocolates are milk or dark and have hard or soft centres. of the chocolates have soft centres. There are twice as many milk chocolates as dark. 5 of the dark chocolates have soft centres.
One chocolate is chosen at random.
What is the probability that it is a dark chocolate with a soft centre?
[1 mark]
What is the probability that it has a hard centre?
[1 mark]
Describe fully the single transformation that maps shape A to shape B.
[3 marks]
Use Pythagoras’ theorem to work out the value of x.
[3 marks]
The 3-figure bearing of B from A is 021 °
Work out the 3-figure bearing of C from A.
[2 marks]
How many edges does a triangular prism have?
[1 mark]
Three shops sell the same type and size of lip balm stick.
Which shop is the best value for 8 sticks and what is the total cost in that shop? Show working to support your answer.
[5 marks]
The boundaries of a city form a trapezium.
The population density of the city is 9450 people per square kilometre.
Work out the number of people who live in the city.
[4 marks]
Round 1 of voting for Head Student is taking place in a school.
To reach round 2, a student must receive at least of the votes. What is the largest possible number of students that can reach round 2? Circle your answer.
15 11 3 4
[1 mark]
There are 900 votes in round 1 Sean receives 180 votes.
Amy draws a pie chart to represent the results. Here is her method to work out the angle needed for Sean.
Is Amy’s method correct? Tick a box.
Give a reason for your answer.
[1 mark]
Here is a prism drawn on an isometric grid.
Work out the volume of the prism.
[3 marks]
Tasha drove 198 miles. Her average speed for the first 3 hours was 45 miles per hour. Her average speed for the rest of the journey was 31.5 miles per hour.
Work out her average speed for the whole journey.
miles per hour
[4 marks]
Here is the term-to-term rule for a sequence.
The first three terms of the sequence are a + 1 2 a + 5 4 a + 13
Show that the sum of the first four terms is a multiple of 3
[3 marks]
A straight line passes through (3, 14) and (12, 32)
Work out the equation of the line. Give your answer in the form y = mx + c
[3 marks]
The paper as printed
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