4MA1 Mathematics A: May/June 2024 Paper 2FFoundation Tier Paper 2

The table shows the distance, in kilometres, each of 6 people travelled to get to a train station.

On the grid, draw a bar chart to show this information.[3]

(a)On the grid, draw a shape that is congruent to shape J[1]

(b)On the grid, draw a shape that is an enlargement of shape J with scale factor 2[2]

The diagram shows shape K Shape K has exactly one line of symmetry.

(c)Draw this line of symmetry on shape K

[1]

The diagram shows shape L drawn on a centimetre grid.

(d)Work out the perimeter of shape L

_cm[1]

(e)Work out the area of shape L

_cm²[1]

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

[1]

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

[1]

(c)Write 0.7 as a percentage.

%[1]

(d)Write 27100 as a decimal.

[1]

There are 60 plants on a plant stall.

710 of the plants are vegetable plants.

(e)Work out how many of the plants are not vegetable plants.

[2]

Here are the first five terms of a number sequence.

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

[1]

(ii)Explain how you found your answer to part (a)(i)

[1]

The 9th term of the sequence is 50

(b)Work out the 12th term of the sequence.

[1]

Umberto says 7 is a term in the sequence. Umberto is wrong.

(c)Explain why.

[1]

Percy has two fair spinners. Spinner A is 4-sided and can land on 1, 1, 2 or 3 Spinner B is 5-sided and can land on 5, 7, 8, 9 or 11

Percy spins each spinner once. He subtracts the number that spinner A lands on from the number that spinner B lands on to get his score.

(a)Complete the table to show all the possible scores.

[2]

(b)Find the probability that

(i)Percy’s score is an even number

[1]

(ii)Percy’s score is greater than 7

[1]

There are 150 animals on a farm.

Of these animals

The rest of the animals are chickens.

Write the number of chickens as a fraction of the total number of animals. Give your fraction in its simplest form.

[3]

2 jugs each contain 350 millilitres of milk. 5 bottles each contain y millilitres of milk.

Peter tips all the milk from the 2 jugs and the 5 bottles into a container. The total amount of milk that Peter tips into the container is 2.8 litres.

Work out the value of y

y = [4]

Bargain Crafts and Art’s Store each have a special offer on tins of crayons.

Pay for 2 tins get 1 tin free 25% off each pack of 5 tins

Heidi buys 30 tins of crayons from Bargain Crafts using the special offer. Amir buys 30 tins of crayons from Art’s Store using the special offer.

Work out the difference between the amount that Heidi pays and the amount that Amir pays.

$ [4]

A circle has a radius of 9 cm.

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

_cm²[2]

The diagram shows shape A drawn on a centimetre grid.

On the centimetre grid below, draw a rectangle that has the same area as shape A[2]

(a)Simplify e × e × e × e × e

[1]

(b)Simplify m + m + m

[1]

(c)Simplify 3g²+ 7g²– 4g²

[1]

(d)Expand a(a + 8)

[1]

(e)Factorise 15x + 20

[1]

Sophia sells d packs of toy cars and h boxes of toy cars.

Each pack contains 3 toy cars. Each box contains 5 toy cars.

The total number of toy cars that Sophia sells is T

(f)Write down a formula for T in terms of d and h

[3]

Shane buys a clock in Australia.

The clock costs 232 Australian dollars. In India, an identical clock costs 12 420 Indian rupees.

The exchange rate is 1 Australian dollar = 54 Indian rupees

The clock costs more in Australia than in India.

Work out how much more. You must give the units of your answer.

[3]

Tom wants to knit an item for a baby.

He can knit a jumper (J) or a blanket (B) or a hat (H) or some socks (S) He can knit using white wool (W) or using yellow wool (Y)

Tom chooses one item to knit and chooses one colour of wool.

Write down all the possible combinations for the item that Tom could knit.

[2]

(a)Describe fully the single transformation that maps shape A onto shape B

[2]

(b)On the grid, reflect shape A in the line with equation y = –1[2]

E = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A = {11, 14, 16, 19} B = {12, 14, 15, 16, 18, 20}

Complete the Venn diagram for this information.

E

[3]

Use your calculator to work out the value of

Give your answer as a decimal. Write down all the figures on your calculator display.

[2]

Here are eight numbers written in order of size

where h, j and k are integers.

The median of the eight numbers is 10

The mode of the eight numbers is 18

The range of the eight numbers is 13

Work out the value of h, the value of j and the value of k

h =

j =

k = [3]

(a)On the grid, draw the straight line with equation

(i)y = 2

(ii)x = 6

(iii)y = x + 1

Label each line with its equation.

[3]

(b)Show, by shading on the grid, the region that satisfies all three of the inequalities

Label the region R[1]

A plane takes 9 hours 36 minutes to fly from New Delhi to Perth.

The plane flies at an average speed of 820 km/h.

Work out the total distance the plane flies.

_km[3]

Show that 2 47 × 3 19 = 8[3]

The diagram shows triangle ABC

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

x = [3]

Change a speed of w metres per second to a speed in kilometres per hour. Give your answer in terms of w in its simplest form.

_{kilometresperhour}[3]

The diagram shows a 6-sided shape ABCDEF

The perpendicular height of the shape is h cm CD is parallel to AF

The area of the shape is 390 cm²

Work out the value of h

h = [4]

Ishir plants 600 bulbs in a garden. He plants tulip bulbs, crocus bulbs and daffodil bulbs so that

number of tulip bulbs : number of crocus bulbs : number of daffodil bulbs = 9 : 4 : 2

45% of the tulip bulbs are for yellow flowers.

58 of the crocus bulbs are for yellow flowers.

All of the daffodil bulbs are for yellow flowers.

Work out the number of bulbs that are for yellow flowers.

[5]

Giovanni invests 4500 koruna in a savings account for 4 years. He gets 2.4% per year compound interest.

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

_koruna[3]

Solve the simultaneous equations

Show clear algebraic working.

x =

y = [3]

(i)Factorise x²+ 9x – 22

[2]

(ii)Hence, solve x²+ 9x – 22 = 0

[1]

Ali uses a fitness tracker to count the number of steps he walks each day for 7 days.

For the first 4 days, his mean number of steps is 11 800 For the next 3 days, his mean number of steps is 13 207

Work out his mean number of steps for the 7 days.

[3]