4MA1 Mathematics A: May/June 2025 Paper 2FRFoundation Tier Paper 2

(a)Write these numbers in order of size. Start with the smallest number.

[1]

(b)Write these decimals in order of size. Start with the smallest decimal.

[1]

(c)Write 0.81 as a fraction.

[1]

(d)Find the number that is exactly halfway between 0.2 and 0.3

[1]

Helena recorded the shoe sizes of seven of her friends.

Here are the results.

(a)Write down the mode of the shoe sizes.

[1]

(b)Work out the median shoe size.

[2]

(c)Find the range of the shoe sizes.

[1]

Here is a 3-D shape.

(a)(i)Write down the mathematical name of this shape.

[1]

(ii)Write down the number of edges of this shape.

[1]

Here are six quadrilaterals on a grid.

A B

Two of the quadrilaterals are congruent.

(b)Write down the letters of these two quadrilaterals.

_and [1]

(c)Write down the letter of the quadrilateral with no lines of symmetry.

[1]

(a)Change 5000 millilitres into litres.

_litres[1]

(b)Find the difference between a length of 3 metres and a length of 85 centimetres. Give your answer in centimetres.

_centimetres[2]

(a)Simplify a + a + a + a + a

[1]

(b)Simplify b × c × 7

[1]

(c)Solve 5d = 40

d = [1]

Here is a number machine.

(a)Find the output when the input is 10

[1]

(b)Find the output when the input is −2

[1]

Raymond sells 80 burgers for a total of £176

15 of the burgers are large.

Each large burger costs £3

The remaining burgers are small.

Work out the cost of one small burger.

£ [4]

Mark is going to book a room in a hotel for 7 nights.

A room in the hotel costs the same amount for each night. Mark knows that the room costs 150 euros for 2 nights.

The hotel also charges an additional tax of 5 euros for each night.

Work out the total cost of the room and the tax for 7 nights.

_euros[3]

Remy chooses one food item and one drink for his breakfast.

He can choose one food item from cereal (C) or fruit (F) or a pastry (P) He can choose one drink from milk (M) or juice (J) or tea (T)

(a)Write down all the possible combinations that Remy can choose.

[2]

Ahmed and Bryn share some blueberries in the ratio 3 : 4

(b)What fraction of the blueberries does Bryn get?

[1]

This graph can be used to change between miles and kilometres.

(a)Use the graph to change 25 miles to kilometres.

_kilometres[1]

Amy gets travel expenses when she drives as part of her job. She gets $0.80 for every kilometre she drives.

For one journey Amy got $19.20

(b)Work out the number of miles she drove.

_miles[2]

The bar chart gives information about the results of the games played by a school team.

3 points for each game it won 1 point for each game it drew 0 points for each game it lost

The team drew 14 games.

Work out the total number of points the team gained.

[3]

The scale drawing shows the positions of two towns, Harvel and Ebury.

Scale: cm represents 5000 m

(a)Work out the real distance, in kilometres, between Harvel and Ebury.

_kilometres[3]

On Saturday, Luisa cycles directly from Harvel to Ebury.

Luisa leaves Harvel at 12 50 She arrives at Ebury at 17 15

(b)Work out the time Luisa takes to cycle directly from Harvel to Ebury.

_{hours minutes}[2]

(a)Factorise 15 − 5x

[1]

d = 5p + 7r

(b)Work out the value of p when d = 35 and r = 2

p = [3]

Sweets are sold in small packets and large packets.

There are 12 sweets in a small packet. There are 25 sweets in a large packet.

Ben buys m small packets of sweets and n large packets of sweets.

(c)(i)Write an expression, in terms of m and n, for the total number of packets of sweets Ben buys.

[1]

(ii)Write an expression, in terms of m and n, for the total number of sweets Ben buys.

[2]

Here is a list of ingredients needed to make 6 biscuits.

Asha makes some of these biscuits. She uses 450 g of flour.

(a)How many biscuits does Asha make?

[2]

Julie makes 84 of these biscuits.

(b)What weight of butter does Julie use?

_g[2]

Asha and Julie pay a total of 624 rupees for the ingredients. The ratio of the amount Asha pays to the amount Julie pays is 3 : 5

(c)How much does Julie pay?

_rupees[2]

Joseph has some counters in a bag.

7 of the counters are red 5 of the counters are blue The rest of the counters are green

Joseph is going to take at random a counter from the bag.

The probability that the counter is green is 25

Work out the number of green counters in the bag.

[3]

The diagram shows a quadrilateral ACDF

ABEF is a trapezium. BCDE is a parallelogram.

FE = 26 cm AB = 18 cm BC = 12 cm

The area of the parallelogram BCDE is 96 cm²

Work out the area of the trapezium ABEF

_cm²[3]

(a)Factorise fully 18c − 45cd

[2]

(b)Solve 5  2x6  3x  4

Show clear algebraic working.

x = [3]

Write 1400 as a product of powers of its prime factors. Show your working clearly.

[3]

Solve the simultaneous equations

Show clear algebraic working.

x =

y = [3]

(a)On the grid above, reflect shape A in the line y = x[2]

(b)On the grid above, enlarge shape B by scale factor 2 with centre (1, 1)[2]

Joshua is going to cover a floor with tiles for a customer. The area of the floor is 45 m²

Joshua buys one box of tiles for each 1.5 m² of floor area. Each box of tiles costs £64

Joshua also buys 5 bags of tile adhesive. Each bag of tile adhesive costs £12

Joshua charges the customer £3000

Work out his percentage profit. Give your answer correct to one decimal place.

%[5]

(a)Write down the value of 5⁰

[1]

5⁹  5³_k

(b)Find the value of k

k = [2]

(c)Simplify fully 2d⁴ e⁵

[2]

The mass of a silver coin is 48.3 g The density of silver is 10.5 g/cm³

Work out the volume of the silver coin.

_cm³[2]

The mean of 7 numbers is 60

The mean of 3 of the numbers is 46

Work out the mean of the other 4 numbers.

[3]

In a sale, normal prices are reduced by 15%

The sale price of a dishwasher is 612 Swiss francs.

Work out the normal price of the dishwasher.

Swiss francs[3]

A straight line, L, is parallel to the line with equation y = 2 – 5x The line L passes through the point (0, 6)

Find an equation of the line L

[2]

The diagram shows two triangles, ADE and CDB

ABD is a straight line.

AE = 28 cm ED = 45 cm AB = 21 cm CD = 35 cm

angle AED = angle CBD = 90°

Work out the area of triangle CDB Give your answer correct to 3 significant figures.

cm²[5]