4MA1 Mathematics A: May/June 2021 Paper 2FFoundation Tier Paper 2

The table shows the length, in kilometres, of the coastline of each of five oceans.

(a)Which of these oceans has the greatest length of coastline?

[1]

(b)Write the number 17 968 in words.

[1]

(c)Write the number 66 526 correct to the nearest thousand.

[1]

(d)Work out the total length of the coastlines of the Arctic Ocean and the Pacific Ocean.

_kilometres[1]

(a)Write down the order of rotational symmetry of a square.

[1]

(b)(i)Measure the size of the angle marked x.

(ii)Write down the mathematical name of this type of angle.

[2]

Here is a 3-D shape.

(c)(i)Write down the mathematical name of this 3-D shape.

(ii)How many edges does this shape have?

[2]

The pictogram gives some information about the number of parcels delivered by a delivery company on each of five days last week.

On Monday, the delivery company delivered 20 parcels.

Work out the total number of parcels delivered by the delivery company on these five days.

[4]

The points A, B and C, shown on the grid, are the vertices of triangle ABC.

(a)Write down the coordinates of the point B.

( , )[1]

(b)Write down the mathematical name of triangle ABC.

[1]

The coordinates of point D are (1, −4)

(c)On the grid, mark with a cross (×) the position of D. Label the point D.[1]

(d)Find the coordinates of the midpoint of AB.

( , )[2]

Here is a shape made of squares.

(a)Shade 35 of the shape.[1]

(b)Which one of these fractions is not equivalent to 47 ?

[1]

(c)Write 310 as a percentage.

_%[1]

(d)Write 779 as a mixed number.

[1]

56 of a number is 40

(e)What is the number?

[2]

The cost of a mobile phone in the UK is £350 The cost of an identical mobile phone in India is 28 938 rupees.

The exchange rate is £1 = 91 rupees.

The cost of the mobile phone in the UK is more than the cost of the mobile phone in India.

Work out how much more.

[3]

Hassan is going to eat at a restaurant. Here is the menu at the restaurant.

Hassan is going to choose one starter and one main course from the menu.

List all the possible combinations that Hassan can choose.

[2]

(a)Simplify w × w × w × w × w

[1]

(b)Simplify 5a × 3c

[1]

(c)Simplify 3e + 2 f − e + 5 f

[2]

(d)Solve 5x – 7 = x + 12 Show clear algebraic working.

x = [3]

The table shows information about the number of pieces of homework each student in Year 11 received last week.

(a)Work out the range of the number of pieces of homework.

[2]

(b)Write down the mode of the number of pieces of homework.

[1]

(c)Work out the mean number of pieces of homework. Give your answer correct to one decimal place.

[3]

ABC is a triangle. AB = 7 cm and BC = 6.2 cm Angle ABC = 65°

Draw accurately the triangle ABC. The line AB has been drawn for you.

[2]

A circle has radius 7.5 cm

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

_cm²[2]

This formula can be used to work out the cost, in riyals, of hiring a bicycle in Qatar for a number of days.

Ghalia hired a bicycle in Qatar for 14 days.

(a)Work out the cost.

_riyals[2]

This formula can be used to work out the cost, in riyals, of hiring a helmet in Qatar for a number of days.

Kasun wants to hire a bicycle and a helmet for the same number of days. He wants to hire them for as many days as he can. He has 750 riyals to spend.

(b)Work out how much of the 750 riyals is not spent.

_riyals[4]

There are some counters in a bag.

7 of the counters are blue. 5 of the counters are green. The rest of the counters are yellow.

One counter is going to be taken at random from the bag.

The probability that the counter is blue or is green is 613

Work out how many yellow counters there are in the bag.

[3]

(a)Work out 39% of 450

[2]

(b)Write one pair of brackets in this calculation so that the answer is correct.

[1]

(c)Work out the value of 8.96.2 − 3.5

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

[2]

Write 600 as a product of powers of its prime factors. Show your working clearly.

[3]

Show that 2 47 ÷ 1 18 = 2 27[3]

The bearing of Paris from London is 149°

Work out the bearing of London from Paris.

[2]

E = {letters of the alphabet} B = {b, r, a, z, i, l} I = {i, r, e, l, a, n, d}

(a)List the members of the set

(i)B ∪ I

(ii)B ∩ Iʹ

[2]

K = {k, e, n, y, a}

Cody writes down the statement B ∩ K = ∅ Cody’s statement is wrong.

(b)Explain why.

[1]

ABCD and FGHI are parallel straight lines. EBGJ and ECH are straight lines.

BE = CE Angle BEC = 44°

Work out the size of angle JGH. Give a reason for each stage of your working.

[5]

Mariana sells bags of bird food.

The bags that Mariana sold last week each contained 12 kg of seeds.

The bags that she is going to sell next week will each contain a mixture of nuts and seeds where for each bag

The total weight of the nuts and the seeds in each bag will be 19.35 kg

The weight of seeds in each bag that Mariana sells next week will be less than the weight of seeds in each bag that Mariana sold last week.

Work out this decrease as a percentage of the weight of seeds in each bag that Mariana sold last week. Give your answer correct to one decimal place.

_%[4]

Here is a right-angled triangle.

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

x = [3]

Solve the simultaneous equations

Show clear algebraic working.

a =

c = [3]

(i)Factorise x²+ 2x – 24

[2]

(ii)Hence solve x²+ 2x – 24 = 0

[1]

Here is a triangular prism.

Work out the volume of the prism. Give your answer correct to 3 significant figures.

_cm³[5]

Chengbo sold a house for 180 000 yuan.

The amount for which he sold the house is 24% more than the amount he paid for the house.

(a)Work out how much Chengbo paid for the house. Give your answer correct to 3 significant figures.

_yuan[3]

Zhi bought a house on 1st January 2017 When she bought the house, its value was 120 000 yuan.

The value of the house increased by 1.8% per year.

(b)Work out the value of Zhi’s house on 1st January 2020 Give your answer correct to 3 significant figures.

_yuan[3]