4MA1 Mathematics A: May/June 2025 Paper 1FRFoundation Tier Paper 1

The table shows the land area, in km², of each of six US states.

(a)Which one of these six US states has the greatest land area?

[1]

(b)Write the number 314 161 correct to the nearest hundred.

[1]

(c)Write down the value of the 4 in the number 294 207

[1]

(d)Work out the sum of the land area of Oregon and the land area of Washington.

_km²[1]

The land area of Vermont is 23 871 km²

(e)Write the number 23 871 in words.

[1]

Freya has four cards. There is a number on each card.

Freya is going to pick at random one of these cards.

(a)Circle the word in the box below that best describes the likelihood that Freya will pick a card with the number 5 on it.

[1]

(b)On the probability scale below, mark with a cross (×) the probability that Freya will pick a card with a number less than 6 on it.

[1]

Ishani has six cards each with a number on it. Four of these numbers are shown below.

When she picks at random one of the six cards, the probability that she picks a card with

an even number on it is 12

(c)Write a number on each of the blank cards to show one possible set of six cards that Ishani could have.

[1]

The diagram shows a 6-sided polygon.

(a)Measure the length of the side AB Give the units of your answer.

[2]

(b)Measure the size of the angle marked x

[1]

(c)Write down the mathematical name of a 6-sided polygon.

[1]

(a)Write 910 as a decimal.

[1]

(b)Write 350 as a percentage.

%[1]

Here is a shape made of squares.

(c)Shade 58 of the shape.[1]

(d)One of these fractions is not equivalent to 25

Which one?

[1]

There are 32 students in a class. 8 of the students study French.

(e)What fraction of the students do not study French? Give your fraction in its simplest form.

[2]

(a)Simplify 4e × 7f

[1]

(b)Simplify d × d × d × d × d

[1]

(c)Simplify 3a + 2k + a – 7k

[2]

(d)Solve x + 6 = 15

x = [1]

(e)Solve 2r – 9 = 14

r = [2]

Aabir has some boxes and some crates. Each box has the same weight. Each crate has the same weight.

The total weight of 7 boxes and 2 crates is 27.3 kg The total weight of 4 boxes and 2 crates is 16.8 kg

Work out the weight of one crate.

kg[4]

AEC and BED are straight lines.

Sergio says that the value of x is 58

(a)Give a reason why Sergio is correct.

[1]

In the diagram, GHIJ is a quadrilateral.

Chloe says “FGH is a straight line”

(b)Show that Chloe is wrong. Give a reason for each stage of your working.[4]

The pictogram shows information about the number of toys sold in a shop on each of five days.

The number of toys sold on Friday was 16 more than the number of toys sold on Thursday.

Work out the number of toys sold on Monday.

[3]

Here are the first four terms of a number sequence.

(i)Write down the next term of the sequence.

[1]

(ii)Explain how you worked out your answer.

[1]

The table shows information about the number of cars sold by a garage in each of 30 weeks.

Work out the mean number of cars sold per week.

[3]

On the grid, draw the graph of y = 2x – 5 for values of x from –1 to 4

[3]

A shop accepts payment in pounds (£) or in Swiss francs.

In the shop, a shirt costs £35 or 42 Swiss francs. The cost of a jacket is £54

Alex works out the cost of the jacket in Swiss francs. She uses the same exchange rate that was used for the cost of the shirt.

What is the cost of the jacket in Swiss francs?

Swiss francs[3]

A circle has radius 6.4 cm

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

cm²[2]

The diagram shows a plan of a garden made from three identical rectangles.

The length of each rectangle is 6 metres. The width of each rectangle is 3.5 metres.

Jeremy puts a fence around the perimeter of the garden. He charges 7.60 euros for each 1 metre of fence.

Work out how much Jeremy charges in total for the fence.

euros[4]

Jill scored 119 out of 140 marks in an exam.

Work out Jill’s score as a percentage.

%[2]

Find the lowest common multiple (LCM) of 45 and 70

[2]

The length of a ship is 142.8 m, correct to 1 decimal place.

(i)Write down the lower bound of the length of the ship.

m[1]

(ii)Write down the upper bound of the length of the ship.

m[1]

Show that 2 14  157  3 67[3]

Here is a biased 5-sided spinner. When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow.

The table gives information about the probability of the spinner landing on each colour.

Sophie spins the spinner once.

(a)Work out the probability that the spinner lands on blue or on green or on purple.

[1]

Max spins the spinner 350 times.

(b)Work out an estimate for the number of times the spinner lands on red.

[4]

E  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A  2, 4, 6, 8, 10, 12

B  3, 6, 9, 12

C  1, 3, 5, 7, 9, 11

(a)List the members of the set

(i)A ∪ B

(ii)Bʹ

[2]

E  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A  2, 4, 6, 8, 10, 12

B  3, 6, 9, 12

C  1, 3, 5, 7, 9, 11

(b)Write a symbol from the box on each dotted line to make each of the following a true statement.

(i)A  C 

(ii)13 E[2]

(a)Write down the inequality shown on the number line.

[2]

(b)Solve the inequality 7a  5  3a  28 Show clear algebraic working.

[2]

A bus travels a distance of 1262 km from Beijing to Shanghai.

The bus takes 17 12 hours.

(a)Work out the average speed of the bus. Give your answer, in km/h, correct to the nearest whole number.

_km/h[2]

(b)Change a speed of 50x metres per second to a speed in kilometres per hour.

_km/h[3]

(a)Expand x(x − 3)

[1]

(b)Make t the subject of m  t  45

[2]

(c)Simplify a⁶ × a¹⁰

[1]

(d)Simplify c³⁰ ÷ c¹²

[1]

(e)(i)Factorise y²  10 y  21

[2]

(ii)Hence, solve y²  10 y  21  0

[1]

The diagram shows triangle PQR

Work out the length of QR Give your answer correct to 3 significant figures.

_cm[3]

The diagram shows two water containers. One is a cuboid and one is a cylinder.

The cuboid measures 35 cm by 28 cm by 20 cm The surface of the water in the cuboid is 9 cm above the base of the cuboid.

The cylinder has a radius of 10 cm and a height of 33 cm The cylinder is completely full of water.

Izzy is going to pour all the water from the cylinder into the cuboid.

Show that the cuboid will not be completely full of water.[3]

Zhou invests some money for 2 years. He invests $2500 with Bank A and $3000 with Bank B.

Zhou receives more interest from Bank A than from Bank B.

How much more?

$ [5]