4MA1 Mathematics A: May/June 2018 Paper 1FFoundation Tier Paper 1

(a)Write 7100 as a decimal.

[1]

(b)Write 4860 as a fraction in its simplest form.

[1]

(c)Write 173 as a mixed number.

[1]

There are 840 tickets available for a concert.

17 of these tickets have not been sold.

(d)How many of the tickets have been sold?

[2]

The bar chart gives information about the total number of medals won by each of six countries at the 2016 Olympic Games.

70

60

50

40 Number of medals 30

20

10

(a)Which of these countries won the fewest total number of medals?

[1]

Great Britain won 27 gold medals.

(b)How many of the medals won by Great Britain were not gold medals?

[2]

(c)Write down the ratio of the total number of medals won by Russia to the total number of medals won by Germany. Give your ratio in its simplest form.

[2]

The USA won 46 gold medals 37 silver medals 38 bronze medals

(d)What fraction of the total number of medals won by the USA were gold medals?

[2]

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

(ii)How many faces does the shape have?

(iii)How many vertices does the shape have?

[3]

(a)Change 650 centimetres into metres.

_metres[1]

(b)Change 8 litres into millilitres.

_millilitres[1]

Memona has a 6 kg sack of rice and some empty bags. She fills each bag with 475 grams of rice from the sack.

(c)How many bags can Memona completely fill with rice?

[3]

(a)Simplify 6x + 8xíx

[1]

(b)Simplify 4e × 5f

[1]

(c)Solve 8p = 24

p = [1]

k = [1]

(e)Simplify 10t + 4dít + 2d

[2]

The two-way table shows some information about where 50 people went for their last holiday.

(a)Complete the table.[3]

(b)What percentage of these 50 people were female and went on holiday in Africa?

_%[2]

3 kg of potatoes and 2 kg of apples cost a total of £7.33 4 kg of potatoes cost £3.80

Work out the cost of 1 kg of apples.

£ [4]

ABCD is a quadrilateral. ADE is an equilateral triangle. DCF is a straight line.

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

[5]

You can use this graph to change between temperatures in degrees Celsius (°C) and temperatures in degrees Fahrenheit (°F).

The temperature in Dubai on Monday increased by 20 °C from midnight to midday.

(a)What is this temperature increase in degrees Fahrenheit?

_°F[2]

Maninder says,

(b)Is Maninder correct? Give a reason for your answer.

[1]

(a)Find the Lowest Common Multiple (LCM) of 12 and 20

[2]

(b)Find the Highest Common Factor (HCF) of 24 and 56

[2]

A wooden box measures 30 cm by 15 cm by 32 cm. The box has a lid.

A carton measures 5 cm by 5 cm by 5 cm.

James has 110 cartons. He wants to put all these cartons in the box and be able to shut the lid.

Can James put all 110 cartons in the box and shut the lid? Show your working clearly.[3]

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

[2]

(b)On the grid, translate triangle B by the vector ⎛⎜ 2⎞⎟

Label your triangle C.[1]

(c)Describe fully the single transformation that maps triangle C onto triangle B.

[1]

There are some people in a cinema.

35 of the people in the cinema are children.

For the children in the cinema,

number of girls : number of boys = 2 : 7

There are 170 girls in the cinema.

Work out the number of adults in the cinema.

[5]

The accurate scale drawing shows the positions of two ships, L and M.

(a)Find the bearing of ship M from ship L.

[1]

The scale of the drawing is 1 cm to 5 km.

Ship P is 40 km from L and on a bearing of 240° from M.

(b)On the diagram, mark with a cross ( P.

[3]

The table shows information about the weights, in kg, of 40 parcels.

Weight of parcel ( p kg) Frequency

(a)Write down the modal class.

[1]

(b)Work out an estimate for the mean weight of the parcels.

_kg[4]

(a)Simplify y⁵× y⁹

[1]

(b)Simplify (2m³)⁴

[2]

(c)Solve 5(x + 3) = 3xí Show clear algebraic working.

x = [3]

(d)(i)Factorise x²+ 2xí

[2]

(ii)Hence, solve x²+ 2x 

[1]

Here is a Venn diagram.

E

(a)Write down the numbers that are in the set

(i)A

(ii)B ‰ C

[2]

Brian writes down the statement A ˆ C = Ø

(b)Is Brian’s statement correct? You must give a reason for your answer.

[1]

One of the numbers in the Venn diagram is picked at random.

(c)Find the probability that this number is in set Cމ

[2]

(a)Write 8 × 10⁴ as an ordinary number.

[1]

(b)Work out (3.5 × 10⁵) ÷ (7 × 10⁸) Give your answer in standard form.

[2]

(a)On the grid, draw the graph of y = 2x + 3 for values of x

[3]

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

Label the region R.[2]

M, N and P are points on a circle, centre O. MON is a diameter of the circle.

MP = 3.5 cm PN = 9.7 cm

Angle MPN = 90°

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

_cm[4]

Chao bought a boat for HK$160 000 The value of the boat depreciates by 4% each year.

(a)Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HK$.

HK$ [3]

Jalina gets a salary increase of 5% Her salary after the increase is HK$252 000

(b)Work out Jalina’s salary before the increase.

HK$ [3]