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

The table gives information about the lengths, in kilometres, of the shorelines of seven lakes.

Lake Length of shoreline (km)

(a)Which of these seven lakes has the longest shoreline?

[1]

(b)Write the number 6124 in words.

[1]

The shoreline of Lake Nasser is longer than the shoreline of Lake Inari.

(c)How much longer?

_km[1]

(d)Write down the value of the 6 in the number 4763

[1]

Two numbers in the table round to 4000 when written correct to the nearest thousand.

(e)Write down these two numbers.

_and [1]

(a)Simplify 10p – 4p + 9p

[1]

(b)Simplify 9 × 4q

[1]

(c)Solve 4r = 15

r = [1]

A box contains 10 balls.

5 balls are black 3 balls are green 2 balls are red

Rema is going to take at random a ball from the box.

(a)On the probability scale, mark with a cross (×) the probability that the ball is black.

[1]

(b)On the probability scale, mark with a cross (×) the probability that the ball is orange.

[1]

Johan has three bags of counters, A, B and C He tries to find the probability of taking at random a white counter from each bag. He writes his probabilities in a table.

The probability that Johan writes for bag C is incorrect.

(c)Explain how you know that it is incorrect.

[1]

Here is a polygon.

(a)Write down the mathematical name of this polygon.

[1]

(b)Write down the number marked with the arrow.

[1]

Here are four clock faces.

(c)Write down the letter of the clock face that shows quarter to five.

[1]

(d)Complete the following sentence by writing a suitable metric unit on the dotted line.

The height of the Eiffel Tower is 300 [1]

Here is a list of numbers.

(a)From the numbers in the list, write down

(i)an odd number

[1]

(ii)a number that is a multiple of both 4 and 6

[1]

(iii)a cube number

[1]

(iv)a prime number

[1]

(b)Work out the value of

[1]

(a)(i)Work out the value of x

x = [1]

(ii)Give a reason for your answer.

[1]

ABDE is a quadrilateral. BCD is an isosceles triangle. ABC is a straight line.

(b)Work out the value of y

y = [3]

Harold works in a factory.

His normal hourly rate of pay is £14 His overtime hourly rate of pay is £21

Harold is paid the normal hourly rate of pay for 35 hours in one week. His total pay for this week is £679

Work out the number of hours of overtime he works in this week.

[4]

(a)Simplify 10x – 7y – 6x + 4y

[2]

T = 4d – 6e

(b)Work out the value of T when d = 13 and e = 7

T = [2]

(c)Solve 5p + 11 = 28

p = [2]

ABC is an equilateral triangle with sides of length 9 cm.

Use a ruler and compasses only to construct the triangle ABC The side AB has been drawn for you. You must show all your construction lines.

[2]

There are 29 cars in a car park.

10 of the cars are red. The rest of the cars are white or blue.

Sasha selects at random one of these cars.

(a)Write down the probability that she selects a red car.

[1]

The probability that Sasha selects a white car is 729

(b)Work out the probability that she selects a blue car.

[2]

David is going to make some biscuits.

Here is a list of ingredients for making 24 biscuits.

five 250 g packs of butter

Work out the maximum number of biscuits that David can make. Show your working clearly.

[4]

The table shows information about the number of school lunches each of 30 students had in one week.

(a)Work out the mean number of school lunches.

[3]

The probability that Alex takes a packed lunch to school is 0.79

(b)Work out the probability that Alex does not take a packed lunch to school.

[1]

On the grid, draw the graph of y = 2 x – 3 for values of x from –2 to 4

[3]

Chaviv makes 490 loaves of bread each week for his shop.

86 of the loaves are sourdough.

(a)Write 86 as a percentage of 490 Give your answer correct to one decimal place.

%[2]

A loaf of sourdough bread weighs 375 grams before it is baked.

The loaf loses 12% of its weight when it is baked.

(b)Work out the weight of the loaf after it is baked.

_grams[3]

The diagram shows a shape ABCDE made from a right-angled triangle ABE and a square BCDE

ABC is a straight line.

AB = 15 cm AE = 17 cm

The perimeter of triangle ABE is 40 cm

Work out the area of the shape ABCDE

_cm²[4]

Here are the first four terms of an arithmetic sequence.

(a)Find an expression, in terms of n, for the nth term of this sequence.

[2]

The nth term of a different arithmetic sequence is 5n + 17

(b)Find the 12th term of this sequence.

[1]

450 students were asked how they travelled to school on Monday. Each student walked or travelled by bus or travelled by car or travelled by bicycle. Each student used just one method of travel.

One of these students is chosen at random. The table shows information about the probability of each method of travel.

Work out how many of the 450 students travelled by car.

[4]

Find the highest common factor (HCF) of 72 and 108 Show your working clearly.

[2]

Ava records the number of kilometres she drives each month.

In April, Ava drove 943 kilometres. This is 15% more than the number of kilometres she drove in March.

Work out the number of kilometres Ava drove in March.

_kilometres[3]

In the diagram, ABCDE is a regular pentagon.

Angle AEF = 96°

Work out the size of the obtuse angle FED Show your working clearly.

[4]

(a)Expand and simplify (m + 5)(m – 8)

[2]

(b)Solve 3n – 4 = 5n + 63

Show clear algebraic working.

n = [3]

ℰ = {23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34} A = {even numbers} B = {23, 29, 31} C = {multiples of 3}

(a)List the members of the set

(i)B ∪ C

[1]

(ii)A′ ∩ C

[1]

(b)Is it true that B ∩ C = ∅ ?

Tick ( ) one of the boxes below.

Give a reason for your answer.

[1]

The set D has 4 members and is such that D ∩ (A ∪ C) = ∅

(c)List the members of set D

[2]

A cylinder is placed on a table.

The volume of the cylinder is 1575 cm³ The force exerted by the cylinder on the table is 84 newtons.

Work out the pressure on the table due to the cylinder.

_newtons/cm²[3]

The table gives the amount of rice produced by each of two countries in 2020

(a)Write 3.5 × 10⁷ as an ordinary number.

[1]

In 2020, Japan produced 6 780 000 more tonnes of rice than Argentina.

(b)Work out the amount of rice Japan produced in 2020 Give your answer in standard form.

_tonnes[2]

(a)Simplify (2p)⁰ where p > 0

[1]

y⁹ × y^–3= yⁿ

(b)Find the value of n

n = [1]

(c)Simplify fully (5a⁴ c²)³

[2]

The diagram shows a roof support.

The roof support is made from four lengths of wood, AB, AC, BC and MC

AC = BC = 9 m AB = 12 m

angle AMC = 90°

Lewis is going to buy lengths of wood to make the roof support.

The wood costs 21.50 euros per metre. Each length of wood he buys has to be a whole number of metres.

Work out the total cost of the wood Lewis needs to buy. Show your working clearly.

_euros[4]