4MA1 Mathematics A: May/June 2022 Paper 2FFoundation Tier Paper 2

(a)Write 0.3 as a percentage.

_%[1]

(b)Write 29100 as a decimal.

[1]

(c)Write 1720 as a decimal.

[1]

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

[1]

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

[1]

There are 400 cars in a car park.

310 of the cars are grey.

(f)Work out how many of the cars in the car park are not grey.

[2]

Here are seven shapes on a centimetre grid.

A C

(a)Write down the letters of the two shapes that are congruent.

_and [1]

Two of the seven shapes are similar but are not congruent.

(b)Write down the letters of these two shapes.

_and [1]

Shape F has exactly one line of symmetry.

(c)On shape F on the grid, draw this line of symmetry.[1]

(d)Work out the perimeter of shape B.

_cm[1]

(e)Work out the area of shape G.

_cm²[1]

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 30th term of the sequence is 181

(b)Work out the 28th term of the sequence.

[1]

Brian says that 96 is a number in the sequence. Brian is wrong.

(c)Explain why.

[1]

The bar chart shows information about the weight, in millions of tonnes, of the potatoes produced by each of four countries in 2016

In 2016, one of these four countries produced 11 million tonnes of potatoes.

(a)Which country?

[1]

In 2016, Country E produced 7 million tonnes of potatoes.

(b)Draw a bar on the bar chart to show this information.[1]

In 2016, the weight of potatoes produced by Country C was greater than the weight of potatoes produced by Country A.

(c)How many million tonnes greater?

_{milliontonnes}[1]

Jian has two fair spinners. Spinner A is 3-sided and can land on 1, 2 or 3 Spinner B is 5-sided and can land on 2, 4, 6, 8 or 10

Jian spins each spinner once.

He adds together the number that spinner A lands on and the number that spinner B lands on to get his total score.

(a)Complete the table to show all possible total scores. Five of the total scores have been done for you.

[2]

(b)Find the probability that

(i)Jian’s total score is an odd number

[1]

(ii)Jian’s total score is less than 9

[1]

Here are two special offers for buying dog food.

$1.40 a tin pack of 6 tins for $7.20

Special offer Special offer Buy 1 tin, get 1 tin half price 20% off each pack of 6 tins

Gaspar buys 24 tins of dog food using special offer A. Anna buys 24 tins of dog food using special offer B.

Work out the difference between the amount that Gaspar pays and the amount that Anna pays.

$ [4]

A circle has radius 6.5 cm.

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

cm[2]

Mairi has 200 flowers.

Of these flowers

The rest of the flowers are red.

Express the number of red flowers as a fraction of the total number of flowers. Give your fraction in its simplest form.

[3]

3 cups each contain 200 millilitres of water. 4 jugs each contain x millilitres of water.

Emma pours all the water from the 3 cups and the 4 jugs into a container. The total amount of water that Emma pours into the container from the 3 cups and 4 jugs is 3.5 litres.

Work out the value of x

x = [4]

The diagram shows a kite drawn on a centimetre grid.

On the centimetre grid below, draw a rectangle that has the same area as the kite.[3]

(a)Simplify c × c × c × c × c × c

[1]

(b)Simplify 2h³ + 5h³ − h³

[1]

(c)Expand x(x + 5)

[1]

(d)Factorise 9y − 12

[1]

Rosanna sells m small bags of marbles and p large bags of marbles.

Each small bag contains 15 marbles. Each large bag contains 40 marbles.

The total number of marbles that Rosanna sells is T

(e)Write down a formula for T in terms of m and p

[3]

Ingrid buys a bag in Sweden.

The price of the bag is 1342 Swedish Krona. The price of an identical bag in Finland is 125 euros.

Using an exchange rate of

work out how much cheaper the bag is in Sweden than it is in Finland. You must give the units of your answer.

[3]

Hazel is buying a snack and a drink.

She can have a bar of chocolate (B) or some fruit (F) or a packet of crisps (C) as her snack.

She can have orange juice (O) or apple juice (A) or water (W) as her drink.

Write down all the possible combinations Hazel can have.

[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 x = −1[2]

Use your calculator to work out the value of

Write down all the figures on your calculator display.

[2]

ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {2, 3, 7, 8, 9} B = {1, 2, 4, 5, 7, 8, 10}

Complete the Venn diagram for this information.

[3]

Here are some integers where a < b < c < d

The mode of the integers is 9 The median of the integers is 8 The range of the integers is 4

Work out the value of a, the value of b, the value of c and the value of d

a =

b =

c =

d = [3]

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

(i)y = 1 (ii) x = 2 (iii) x + y = 7

[3]

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

Label the region R.[1]

An aeroplane travelled from New York City to Los Angeles.

The aeroplane travelled a distance of 3980 kilometres in 5 hours 24 minutes.

Work out the average speed of the aeroplane. Give your answer in kilometres per hour correct to the nearest whole number.

_{kilometresperhour}[3]

Show that 5 13 − 2 67 = 2 1021[3]

The diagram shows an 8-sided shape ABCDEFGH.

The height of the shape is 20 cm CD is parallel to HG

The area of shape ABCDEFGH is 434 cm²

Find the length of CD.

_cm[4]

The diagram shows triangle PQR.

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

x = [3]

Change a speed of 81 kilometres per hour to a speed in metres per second.

_{metrespersecond}[3]

Behnaz makes 300 celebration cards so that

birthday cards anniversary cards congratulations cards

25 of the birthday cards have numbers on them.

36% of the anniversary cards have numbers on them. None of the congratulations cards have numbers on them.

Work out what fraction of the 300 cards have numbers on them. Give your answer in its simplest form.

[5]

Pasha invests 50 000 dollars in a savings account for 4 years. He gets 1.3% per year compound interest.

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

_dollars[3]

Solve the simultaneous equations

Show clear algebraic working.

x =

y = [3]

(i)Factorise x² + 5x − 24

[2]

(ii)Hence, solve x² + 5x − 24 = 0

[1]

Larry is a delivery man.

He has 7 parcels to deliver. The mean weight of the 7 parcels is 2.7 kg

Larry delivers 3 of the parcels. Each of these 3 parcels has a weight of W kg

The mean weight of the other 4 parcels is 3.3 kg

Work out the value of W

W = [3]