The pictogram shows the number of students absent from a school in a particular week.
Harper says
The pictogram shows 2 circles for Monday. Therefore 2 students were absent on Monday.
Explain what Harper has done wrong. Write down the correct number of students who were absent on Monday.
[2]
5 students were absent on Friday.
Complete the pictogram above to show this information.
[1]
Complete each statement by writing the missing power in the box.
Work out.
Sam says that 
written as a decimal is 0.78. Is Sam correct? Show how you decide.
[2]
Write 36 as a product of prime factors.
[2]
The diagram shows two intersecting straight lines.
Find the value of a. Give a reason for your answer.
[2]
Find the value of b. Give a reason for your answer.
[2]
Find the value of 4 x + 5 y when x = 3 and y = - 2.
[2]
Write 65% as a fraction in its simplest form.
[2]
25 people entered a competition. 4 of them won a prize.
Work out the percentage of people that won a prize.
[2]
Increase 250 by 20%.
[3]
By writing each number correct to 1 significant figure, find an estimate for 79.8 × 3.1.
[2]
Jamie works out 79.8 × 3.1 on a calculator. Jamie’s answer is 2473.8.
Do you think Jamie has used their calculator correctly? Explain why.
[1]
Ashley has £7 to spend on fruit. The table shows the prices.
| Pineapple (each) | £1.15 |
| Bananas (for 1 kilogram) | 70p |
| Strawberries (for a 200 g pack) | £1.30 |
Ashley buys 2 pineapples and 3 kilograms of bananas. Ashley spends the remaining money on strawberries.
Work out the mass, in grams, of strawberries that Ashley buys. You must show your working.
[6]
Sketch the graph of y = - 2. Show clearly the value of any intercepts.
[2]
Sketch the graph of y = x - 3. Show clearly the value of any intercepts.
[3]
Multiply out.
Work out.
Kai invests £600 at a simple interest rate of r % each year. After 5 years, Kai’s investment is worth £690.
Find the value of r.
[4]
The diagram shows part of a regular 12-sided polygon.
For this polygon, find the ratio of the size of one exterior angle to the size of one interior angle. Give your answer in its simplest form. You must show your working.
[5]
A straight line, L, is shown below.
Write down the ratio v: h when the gradient of line L is 4.
[1]
Find the gradient of line L as a fraction in its simplest form when v: h = 14: 6.
[2]
Find all the possible integer values that satisfy the inequality 4 ⩽ 2 x < 10.
[3]
Azmi has a fair spinner numbered 2, 5 and 8.
Azmi spins the spinner twice and adds the two scores to get a total.
Complete the table to show all of the possible totals.
[1]
Find the probability that the total is a square number.
[2]
Layla and Jamal open a box of sweets. Layla and Jamal share all of the sweets in the ratio 2: 3.
Write down the fraction of the sweets that Layla receives.
[1]
Layla eats some of her sweets. She is then left with 18% of the sweets that were in the box.
Work out the percentage of her sweets that Layla has eaten.
[4]
The graph shows information about the population of a village.
The population of the village in 2021 was 4740.
Plot this point on the graph.
[1]
Work out the increase in the population of the village between 2016 and 2018.
[2]
Rowan says that there was a huge increase in the population of the village between 2015 and 2020.
Describe how Rowan may have been misled by the graph.
[1]
Blake says that the population of the village will be greater than 4800 in 2022.
Write down an assumption Blake has made.
[1]
The diagram shows a cylinder with radius 15 cm and height 20 cm.
On the grid below, draw the plan view of the cylinder. Use the scale 1 cm represents 5 cm.
[2]
On the grid below, draw the front elevation of the cylinder. Use the scale 1 cm represents 5 cm.
[2]
A student says that they have placed the following values in order starting with the smallest.
Has the student done this correctly? Show how you decide.
[4]
Alex has a bag containing 3 blue beads and 5 green beads. There are no other beads in the bag.
Alex takes a bead at random from the bag, puts it back, and then takes another bead.
Alex says
The probability that the two beads are the same colour is less than 50%.
Is Alex correct? Show how you decide. You may use this tree diagram if you wish.
[5]
The diagram shows a right-angled triangle and a rectangle.
The triangle and rectangle have the same area.
Calculate the length, d cm, of the diagonal of the rectangle. You must show your working.
[6]
The paper as printed
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