4MA1 Mathematics A: Oct/Nov 2023 Paper 2FFoundation Tier Paper 2

The table gives information about the weight of sugar produced by each of five countries in one year.

(a)Write the number 28 149 in words.

[1]

(b)Which of these five countries produced the greatest weight of sugar?

[1]

(c)Write down the value of the 8 in the number 23 787

[1]

(d)Write the number 15 745 correct to the nearest thousand.

[1]

The pictogram gives information about the number of parcels a company posted on each of four days last week.

(a)How many parcels were posted on Tuesday?

[1]

24 parcels were posted on Friday.

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

More parcels were posted on Wednesday than on Monday.

(c)How many more?

[1]

(d)Find the ratio

number of parcels posted on Monday : number of parcels posted on Thursday Give your answer in its simplest form.

[2]

(a)Write 0.03 as a fraction.

[1]

(b)Write 0.9 as a percentage.

%[1]

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

[1]

(d)Work out 0. 93 + 710

Give your answer as a decimal.

[1]

Barney went for 4 walks on Tuesday.

The lengths of the walks were

The total length of the 4 walks was 6250 metres.

Work out the value of x

x = [3]

There are 8 counters in a bag.

6 of these counters are orange. The rest of the counters are purple.

Delilah takes at random a counter from the bag.

(i)On the probability scale below, mark with a cross (×) the probability that the counter is orange.

(ii)On the probability scale below, mark with a cross (×) the probability that the counter is yellow.

[2]

Here is a centimetre grid.

(a)On the grid, draw a right-angled triangle.[1]

Here is a centimetre grid.

(b)On the grid, draw a rectangle with an area of 20 cm²[2]

(a)Write 4 30 pm as a time in the 24-hour clock.

[1]

Here is part of a bus timetable from Beetown to Pilton.

The bus should take more time to get from Beetown to Corthill than from Corthill to Pilton.

(b)How much more time? Give your answer in minutes.

minutes[3]

ABCD and EFGH are straight lines. KFBJ and MGCL are parallel straight lines.

(a)Write down the value of x

x = [1]

(b)(i)Work out the value of y

y = [2]

(ii)Give a reason for your answer to (b) (i)

[1]

3 kg of carrots and 5 kg of potatoes cost a total of 207 rand. 2 kg of the carrots cost 48 rand.

Work out the cost of 1 kg of potatoes.

rand[4]

Here is a number machine.

When the input is 7 the output is 60

(a)Work out the value of y

y = [2]

Here is a different number machine.

The input is x

(b)Write down an expression, in terms of x, for the output.

[2]

The graph below can be used to change between Australian dollars and euros.

(a)Use the graph to change

(i)35 Australian dollars to euros

euros[1]

(ii)20 euros to Australian dollars

Australian dollars[1]

Lachlan changes 500 Australian dollars to euros.

(b)Work out how many euros he should receive.

euros[2]

(a)Expand x(x + 3)

[1]

(b)Factorise 8p + 10

[1]

(c)Make e the subject of y = eh ‒ f

[2]

Janya thinks of a whole number. She calls her whole number w Janya writes down this information about her whole number.

(d)Write down the possible values of w

[2]

Bella buys 150 football shirts for a total cost of 1800 dollars.

She gives 10% of the shirts to the local football team. Bella sells the rest of the shirts for g dollars each. She makes a total profit of 360 dollars.

Work out the value of g

g =

² + 8.7[4]

Work out the value of 5.214 .5

Write down all the figures on your calculator display.

[2]

Yuan sells fudge in small bags and in large bags.

Work out which bag is the better value for money. Show your working clearly.[3]

A crate is in the shape of a cuboid with inside lengths of 120 cm, 40 cm and h cm The crate has a lid.

Micah has 48 boxes. Each box is in the shape of a cube 20 cm by 20 cm by 20 cm

Micah wants to put all the boxes in the crate and shut the lid.

Work out the least possible value of h

[4]

The table shows information about the lengths, in minutes, of 50 telephone calls.

10 < m 15

15 < m 20

20 < m 25

25 < m 30

(a)Write down the modal class.

[1]

(b)Work out an estimate for the total length, in minutes, of these telephone calls.

minutes[3]

The diagram shows triangle ABC and triangle ECD

ACD and EBC are straight lines.

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

w = [4]

y 8

7

6

(a)Reflect shape T in the line y = x[2]

y

(b)Describe fully the single transformation that maps triangle A onto triangle B

[3]

(a)Solve 2x  56  2x  5

Show clear algebraic working.

x = [3]

(b)Simplify h¹⁵ ÷ h³

[1]

(c)Simplify fully 2g³ k⁵

[2]

(d)Given that  yy₇  y

work out the value of n

n = [2]

Avril bakes a cake.

She uses flour, butter and sugar such that

weight of butter : weight of sugar = 3 : 2

Avril uses 120 grams of sugar.

Work out the weight of flour Avril uses.

grams[3]

Show that 3 37  2 23  1 27[3]

Hermione buys a boat for $26 800 The value of the boat depreciates by 8% each year.

Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest dollar.

$ [3]

The mean number of goals scored by a hockey team in 8 matches is 6 The team plays 2 more matches and scores k goals in each match. The mean number of goals scored by the hockey team in the 10 matches is 7

Work out the value of k

k = [3]

A straight line passes through the points with coordinates (0, –3) and (2, 0)

Find an equation of the line.

[2]

The diagram shows a hexagon ABCDEF

The area of hexagon ABCDEF is 258 cm²

Work out the value of x

x = [5]