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

Write a number in each box so that each calculation is correct.

(a)475 + = 1200[1]

(b)180× = 5760[1]

Here are four discs. There is a number on each disc.

Using each disc only once,

(c)(i)write down the smallest number that can be made,

[1]

(ii)write down the largest even number that can be made.

[1]

The pictogram shows some information about the number of tyres sold in a garage each month from January to April.

Key: represents 8 tyres

(a)How many tyres were sold in January?

[1]

(b)Work out the total number of tyres sold in the four months from January to April.

[2]

In May, 22 tyres were sold.

(c)Show this information on the pictogram.[1]

Here is a prism.

(a)How many faces has the prism?

[1]

(b)How many vertices has the prism?

[1]

A and B are points on a circle, centre O

(c)Write down the mathematical name of the line AB

[1]

(d)Write down the mathematical name of the line CD

[1]

(a)Simplify 4× 5e

[1]

(b)Solve f 14  29

f = [1]

(a)Write 0.6 as a percentage.

%[1]

(b)Write 19100 as a decimal.

[1]

(c)What fraction of this shape is shaded? Write your fraction in its simplest form.

[2]

Here are the first four terms of a number sequence.

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

[1]

(b)Explain how you found your answer to part (a)

[1]

(c)Find the 12th term of the sequence.

[1]

The normal price of a calculator is £26.80

Amy gets 14 off the normal price with her student discount card.

Amy buys 2 of these calculators. She pays with a £50 note.

How much change should Amy receive?

£ [4]

(a)Complete the table of values for y  2x 1

[2]

(b)On the grid, draw the graph of y  2x 1 for values of x from –2 to 3

[2]

Tamsin asked some people how they prefer their eggs cooked. They could choose scrambled or boiled or poached or fried.

The pie chart shows some information about their answers.

(a)Use the pie chart to complete the table.

[3]

One of these people is selected at random.

(b)Write down the probability that this person chose scrambled.

[1]

Boxes are put into a crate.

Each box is a cuboid, 16 cm by 4 cm by 6 cm The crate is a cuboid, 80 cm by 12 cm by 42 cm

Work out the greatest number of boxes that can be put into the crate.

[3]

A shop sells boxes of almonds.

12 of these boxes cost a total of 708 dirhams.

Work out the cost of 5 of these boxes.

dirhams[2]

Seb went into a restaurant at 18 15 He left the restaurant at 21 40

(a)Work out the time that Seb spent in the restaurant. Give your answer in hours and minutes.

hours minutes[2]

On Friday, the restaurant sold 120 meals. 48 of these meals were vegetarian meals.

(b)What percentage of the meals sold on Friday were vegetarian meals?

%[2]

Show that 37  14  1928[2]

(a)Expand xx  7

[1]

(b)Factorise 8y −10

[1]

m  5a  7b

(c)Work out the value of a when m = 48 and b = 3

[3]

Adam sells chocolate cakes and lemon cakes.

The ratio

number of chocolate cakes he sells : number of lemon cakes he sells = 5 : 7

He sells 40 chocolate cakes.

Adam sells each chocolate cake for $8.50 He sells each lemon cake for $12.75

Work out the total amount of money Adam gets for selling the cakes.

$ [4]

Some students were asked if they study French (F) or Spanish (S)

The Venn diagram gives information about the results. The values shown represent numbers of students.

(a)How many of these students study only French or only Spanish?

[1]

One of these students is chosen at random.

(b)Find the probability that this student studies both French and Spanish.

[2]

The diagram shows the plan of a stage.

The stage is made up of a rectangle and an isosceles triangle.

Yuko is going to cover the stage with varnish. She needs to buy enough tins of varnish to cover the stage with one coat of varnish.

Each tin of varnish covers an area of 4 m²

Work out the smallest number of tins of varnish that Yuko needs to buy. Show your working clearly.

[4]

The table gives information about the distances 100 adults travel to work.

10 < d  15

15 < d  20

20 < d  25

(a)Write down the modal class.

[1]

(b)Work out an estimate for the mean distance.

_km[4]

Anna makes cups. Each cup costs 6 Swiss francs to make.

Anna puts the cups into boxes to sell. Each box contains 4 cups.

Anna sells 80 boxes of cups for a total of 2160 Swiss francs.

(a)Work out the percentage profit Anna makes. Show your working clearly.

%[4]

The height of each cup is 9 cm, correct to the nearest cm

(b)Write down the lower bound of the height.

cm[1]

The weight of each cup is 120 g, correct to the nearest 10 g

(c)Write down the upper bound of the weight.

g[1]

AB and BC are two sides of a regular polygon with n sides.

Work out the value of n Show your working clearly.

n = [4]

x⁵ × x⁷= x^m

(a)Find the value of m

m = [1]

y⁸÷ y³= yⁿ

(b)Find the value of n

n = [1]

(c)Simplify fully (5a⁴ r²)³

[2]

In a sale, normal prices are reduced by 28% The sale price of a watch is 198 euros.

Work out the normal price of the watch.

euros[3]

(a)Solve x – 4 = 3 + 2x6

Show clear algebraic working.

x = [3]

(b)(i)Factorise y²– 11y + 30

[2]

(ii)Hence solve y²– 11y + 30 = 0

[1]

Here is a solid cylinder.

The radius of the cylinder is 8 cm The height of the cylinder is h cm

The volume of the cylinder is 3892 cm³

Work out the value of h Give your answer correct to one decimal place.

h = [3]

(a)Write 520 million in standard form.

[1]

(b)Write 8.79 × 10^–5 as an ordinary number.

[1]

(c)Work out (5 × 10⁴²) × (7 × 10^–180) Give your answer in standard form.

[2]

ABCD is a trapezium with one line of symmetry.

Work out the area of the trapezium. Give your answer correct to 3 significant figures. Show your working clearly.

cm²[5]