4MA1 Mathematics A: May/June 2023 Paper 1FFoundation Tier Paper 1

(a)Shade 45 of this shape.[1]

(b)Write 2736 as a fraction in its simplest form.

[1]

(c)Write 3100 as a decimal.

[1]

(d)Write 750 as a percentage.

%[1]

Melanie finds this information about the number of people, in millions, who speak each of five languages as their first language.

(a)Which of these languages is the first language of the greatest number of people?

[1]

More people speak Japanese as their first language than speak Greek as their first language.

(b)How many more?

_million[1]

The number of people who speak Tamil as their first language is 14 of the number of people who speak Bengali as their first language.

(c)Work out the number of people who speak Bengali as their first language.

_million[1]

It is estimated that 861 700 people can speak Welsh.

(d)Write 861 700 in words.

[1]

Ivor asks 20 children in his class to name their favourite fruit. Here are his results.

(a)Complete the frequency table to show this information.

[2]

(b)Complete the bar chart for the information in your table.

[3]

(a)Write 4.15 pm as a time using the 24-hour clock.

[1]

On Thursday, Belina drives to Theo’s house.

She leaves home at 09 15 She arrives at Theo’s house at 14 40

(b)Work out how long the journey takes. Give your answer in hours and minutes.

_{hours minutes}[2]

(a)Simplify p + p + p + p

[1]

(b)Simplify 5e + 6f + 7e – 2f

[2]

(c)Solve 13 – x = 7

x = [1]

(d)Solve 4y + 7 = 43

y = [2]

Vivienne makes bread.

The weight of yeast she uses is 1% of the weight of flour she uses.

Vivienne uses 750 g of flour.

(a)Work out the weight of yeast she uses.

_g[2]

Bernard makes currant buns.

For every 400 g of flour he uses, he uses 125 g of currants.

Bernard uses 2000 g of flour.

(b)Work out the weight of currants he uses.

_g[2]

The diagram shows a rectangle measuring 10 cm by 3 cm.

A shape is made by placing 3 of these rectangles together as shown in the diagram.

Work out the perimeter of the shape.

_cm[3]

Carla wraps some parcels with ribbon. She wraps 2 large parcels and 3 small parcels.

For each large parcel, Carla uses 185 centimetres of ribbon. For each small parcel, she uses p centimetres of ribbon.

In total, Carla uses exactly 7 metres of ribbon to wrap the parcels.

Find the value of p

p = [3]

Here is a number machine.

(a)Work out the output when the input is 14

[1]

Here is a different number machine.

When the input is 11 the output is 64

(b)Write a number on the dotted line to complete the number machine.[2]

There are 30 counters in a bag.

13 of the counters are purple. 11 of the counters are white. The rest of the counters are red.

Suha takes at random a counter from the bag.

(a)Write down the probability that the counter is purple.

[1]

(b)Work out the probability that the counter is red.

[1]

The counter is put back into the bag.

Clive now puts 10 more counters into the bag. When a counter is taken at random from the bag,

the probability that it is white is now 25

(c)How many of the 10 counters that Clive puts into the bag are white?

[2]

Pablo buys some tickets to go to the theatre.

3 of the tickets are for adults. The remaining tickets are for children.

Each adult ticket costs 12 euros. The children’s tickets each cost 30% less than an adult ticket.

The total amount of money that Pablo pays for all the tickets is 94.80 euros.

Find the number of children’s tickets Pablo buys.

[4]

Pam plays netball for her school team.

Here are the numbers of goals she scored in the last 8 games. The numbers of goals are written in order of size.

(a)Find the range of the number of goals Pam scored.

[1]

(b)Find the median number of goals Pam scored.

[1]

The mean number of goals Pam scored in the 8 games is 5

(c)Work out the value of x

x = [3]

The diagram shows a rectangle and an isosceles triangle.

The perimeter of the rectangle is equal to the perimeter of the triangle.

(a)Find the area of the rectangle.

_cm²[3]

The diagram shows a cuboid.

The volume of the cuboid is 231 cm³

(b)Calculate the value of w

w = [2]

(a)Work out the value of 912 .4  5.3  2.89. 64

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

[2]

(b)Write your answer to part (a) correct to 3 significant figures.

[1]

ℰ = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A = {odd numbers} B = {multiples of 5}

Complete the Venn diagram for this information.

[3]

Last season, the number of goals scored by Arjun, by Simon and by Kath for their football team were in the ratios 2 : 5 : 8

Simon scored 12 more goals than Arjun.

Work out the number of goals scored by Kath.

[3]

The table gives information about the number of minutes that Abby spent walking each day in September.

120 < M  150

Work out an estimate for the total number of minutes that Abby spent walking in September.

_minutes[3]

Nanette buys 60 notebooks for a total cost of 780 dirhams.

Nanette sells 70% of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each.

Work out Nanette’s percentage profit. Give your answer correct to 3 significant figures.

%[4]

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

(a)Given that triangle A has been translated to give triangle B, work out the value of d, the value of e and the value of f

d =

e =

f = [3]

The diagram shows shape P and shape Q drawn on a grid.

y 12

11

10

(b)Describe fully the single transformation that maps shape P onto shape Q

[3]

(c)On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R[2]

The diagram shows a shaded shape AEBCD made by removing triangle AEB from rectangle ABCD

Work out the perimeter of the shaded shape.

_cm[4]

(a)Simplify (2c⁴ d⁷)³

[2]

(b)Find the value of 5y⁰ where y > 0

[1]

(c)Factorise fully 16a² b³+ 20a³ b

[2]

(d)(i)Factorise x²+ 9x – 22

[2]

(ii)Hence solve x²+ 9x – 22 = 0

[1]

The region R, shown shaded in the diagram, is bounded by three straight lines.

Find the inequalities that define R

[4]

(a)Write 300 as a product of its prime factors. Show your working clearly.

[2]

A = 2 × 2 × 2 × 3 × 3 × 5

B = 2 × 2 × 3 × 3 × 3 × 5

(b)Find the lowest common multiple (LCM) of 5A and 7B Show your working clearly.

[2]

Solve the simultaneous equations

Show clear algebraic working.

x =

y = [3]