4MA1 Mathematics A: May/June 2024 Paper 1FRFoundation Tier Paper 1

From the numbers in the box, write down

(a)an odd number

[1]

(b)a multiple of 12

[1]

(c)a prime number

[1]

(d)a factor of 24

[1]

(a)Write 0.13 as a fraction.

[1]

(b)Write a number in the box to make the statement correct.

[1]

(a)Write a number in the box to make the statement correct.

5073 ÷ = 19[1]

(b)Write a number in the box to make the statement correct.

The cube root of is 14[1]

Here is a list of numbers.

(c)Work out the difference between the largest number in the list and the smallest number in the list.

[2]

The pictogram shows information about the numbers of different breeds of dog that Lucy saw in the park.

(a)How many Retrievers did Lucy see in the park?

[1]

Lucy saw 10 Spaniels in the park.

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

Lucy saw more Cockapoos than Bulldogs in the park.

(c)How many more?

[1]

The table gives the average January temperatures for five cities.

Here are the temperatures in °C

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

[1]

(b)Work out the difference between the January temperature in Yinchuan and the January temperature in Valencia.

°C[1]

The January temperature in Winnipeg is 13°C lower than the January temperature in Tallinn.

(c)Work out the January temperature in Winnipeg.

°C[1]

The January temperature in Austin is 25°C higher than the January temperature in Saskatoon.

(d)Work out the January temperature in Austin.

°C[1]

The diagram shows a regular octagon.

(a)Write down the number of lines of symmetry of a regular octagon.

[1]

Here is a shape.

(b)On the shape, mark with a letter R a right angle.[1]

(c)On the shape, mark with a letter O an obtuse angle.[1]

(d)Find, by measuring, the size of the angle marked x

[1]

At a games club, people played chess or mahjong or rummy or whist. Each person played only one of these games.

Helena starts to draw a pie chart to show information about the games played.

72° mahjong

24 people played mahjong.

(a)Work out the number of people who played chess.

[2]

40 people played whist.

(b)Work out the size of the angle on the pie chart for the sector representing whist. You do not need to complete the pie chart.

[2]

Marie buys

3 birthday cards at $1.80 each 4 sheets of wrapping paper at $1.20 a sheet 2 identical rolls of sticky tape

The total cost is $17.10

Work out the cost of one roll of sticky tape.

$ [4]

The diagram shows three points, A, B and C, marked on a grid.

(a)Write down the coordinates of A

( , )[1]

(b)Find the coordinates of the midpoint of AB

( , )[2]

D is the point on the grid so that ABCD is a rectangle.

(c)Find the coordinates of D

( , )[2]

Charlene is comparing cooking temperatures in degrees Celsius (°C) with cooking temperatures in degrees Fahrenheit (°F)

She finds this rule to change from °C to °F

(a)Change a temperature of 175°C to a temperature in °F

°F[2]

(b)Change a temperature of 482°F to a temperature in °C

°C[2]

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

[1]

(b)Simplify 7w + 10y ‒ 9w + 2y

[2]

The nth term of a sequence is given by 7n – 4

(c)Find the 1st term and the 5th term of the sequence.

1st term

5th term [2]

(d)Solve 7(x + 5) = 8 ‒ 3x Show clear algebraic working.

x = [3]

ABCD is a quadrilateral. CDE is an isosceles triangle with CD = CE DEF is a straight line.

Work out the size of angle BCE Give a reason for each stage of your working.

angle BCE = [5]

Kye has some toy cars.

He has n red cars. He has twice as many blue cars as red cars. He has 7 more green cars than red cars.

(a)Write an expression, in terms of n, for the total number of red cars, blue cars and green cars that Kye has. Write your answer in its simplest form.

[2]

The total number of cars that Kye has is T

(b)Write an expression, in terms of T and n, for the number of cars that Kye has that are not red cars, blue cars or green cars.

[1]

Use your calculator to work out the value of

Write down all the figures on your calculator display.

[2]

The diagram shows a box and a crate with a lid.

The box is a cube with sides of length 5 cm. Tony has many boxes.

The crate is a cuboid with inside lengths of 27 cm, 35 cm and 40 cm.

Tony puts as many boxes as possible into the crate so that the lid will shut.

Work out the volume of space in the crate that is not filled up with boxes.

cm3[4]

Here are six cards.

Five of the cards have a number written on them.

Work out the number that should be written on the last card so that the mean of the six numbers will be 11

[3]

Here is a biased spinner.

The table gives information about the probability that, when the spinner is spun once, it will land on each number.

Alexis is going to spin the spinner 400 times.

Work out an estimate for the number of times the spinner will land on an odd number.

_.[4]

Norberto sells white loaves of bread and brown loaves of bread.

He sells a total of 200 loaves such that

the number of white loaves sold : the number of brown loaves sold = 3 : 2

Norberto sells the white loaves for £1.50 each. He sells the brown loaves for £1.75 each.

40% of the price of a white loaf is profit. 60% of the price of a brown loaf is profit.

Work out Norberto’s total profit when he sells all 200 loaves.

£ [5]

Show that 2 13  5 14  49[3]

Slavomir invests 5200 euros in a savings account for 4 years. He gets 2.5% per year compound interest.

Work out how much money Slavomir will have in the savings account at the end of 4 years. Give your answer correct to the nearest euro.

euros[3]

The diagram shows a solid wooden cylinder.

The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 1208 cm³

(a)Work out the value of h Give your answer correct to the nearest whole number.

h = [2]

The density of the wood is 1.25 g/cm³

(b)Work out the mass of the cylinder. Give your answer in kilograms.

kilograms[2]

(a)Simplify g⁹ ÷ g²

[1]

(b)Expand 5k² (k³ + 4)

[2]

(c)(i)Factorise x² − 2x − 63

[2]

(ii)Hence, solve x² − 2x − 63 = 0

[1]

(d)Solve the inequality 7  2 y  3y  12

[3]

The diagram shows a trapezium, ABCD

DAB and ADC are right angles.

AD = 15 cm DC = 14 cm

The area of the trapezium is 360 cm²

Work out the perimeter of the trapezium.

cm[6]

Line L is drawn on the grid.

Find an equation for L Give your answer in the form y = mx + c

[3]