4MA1 Mathematics A: May/June 2018 Paper 2FRFoundation Tier Paper 2

Here are four discs. Each disc has a number on it.

These four discs are arranged to make the number 3854

(a)Arrange the four discs to make the largest possible number.[1]

(b)Arrange the four discs to make a multiple of 5[1]

(c)Arrange the four discs to make the smallest possible odd number.[1]

(a)Write 45 as a decimal.

[1]

(b)Write 779 as a mixed number.

[1]

(c)Write as a fraction in its simplest form.

[1]

(d)Write these decimals in order of size.

Start with the smallest decimal.

[1]

(e)Find the sum of 1320 and 0.72

Give your answer as a decimal.

[2]

The pictogram shows information about the total weight of bananas grown last year in each of five countries.

represents 4 million tonnes of bananas

(a)How many million tonnes of bananas were grown last year in Uganda?

million_tonnes[1]

Last year the weight of bananas grown in India was more than the weight of bananas grown in China.

(b)How many million tonnes more?

million_tonnes[1]

Last year the total weight of bananas grown in Indonesia was 6 million tonnes.

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

(a)Write 0.4 as a percentage.

%[1]

(b)What is 42 out of 80 as a percentage?

%[2]

(c)Work out 72% of 350 cm.

cm[2]

Valentino sells ice cream cones and ice cream tubs. The ice cream flavours are chocolate, strawberry and vanilla.

On Sunday, 120 people each bought one ice cream from Valentino. The two-way table shows some information about these ice creams.

(a)Complete the two-way table.[3]

One of the 120 people is picked at random.

(b)Find the probability that this person bought a vanilla ice cream cone.

[2]

(a)Write 1782 correct to the nearest hundred.

[1]

(b)Write the number thirty two thousand and forty five in figures.

[1]

Billy works out the answer to 2 + 5 q 7 He says that the answer is 49

Billy is not correct as the answer should be 37

(c)Explain what Billy has done wrong.

[1]

Chen says,

(d)Give an example to show that Chen is not correct.

[1]

The diagram shows a 3-D shape.

(a)Write down the mathematical name of the shape.

[1]

(b)How many faces has the shape?

[1]

(c)How many edges has the shape?

[1]

Giovanni arrived at a railway station in Venice at 06 45

(a)Write this time using the 12-hour clock.

[1]

Giovanni caught a train from Venice to Rome. The train left Venice at 07 25 and arrived in Rome at 11 10 the same day.

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

_{hours minutes}[2]

The table shows information about the number of goals scored by a football team in each of 20 matches.

(a)Write down the mode of the number of goals scored.

[1]

(b)Find the median number of goals scored.

[2]

(c)Work out the total number of goals scored.

[2]

3 kg of carrots cost £1.35 5 kg of carrots and 2 kg of potatoes cost a total of £4.15

Find the cost of 1 kg of potatoes.

£ [3]

(a)Find the cube root of 421.875

[1]

(b)(i)Work out the value of 7. 615.2 × 3.5

Write down all the figures on your calculator display.

[2]

(ii)Write your answer to part (b)(i) correct to 2 significant figures.

[1]

The Venn diagram shows the numbers in the universal set, E, and two sets A and B.

(a)List the members of the set

(i)A

(ii)A ˆ
B

(iii)$ү

[3]

A number is picked at random from the universal set.

(b)Find the probability that this number is in set B but not in set A.

[2]

Here is a conversion graph to change between euros and Australian dollars.

(a)Use the graph to change

(i)50 euros to Australian dollars,

Australian_dollars

(ii)90 Australian dollars to euros.

euros[2]

Sheila is on holiday in Italy and is going to the United Arab Emirates. She knows that

(b)Change 500 euros to dirhams.

dirhams[3]

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

[3]

(a)Solve 8 – 2p = 15

p = [2]

(b)Solve 7x − 24 = 3x + 1

Show clear algebraic working.

x = [3]

x, 10 and y are three integers written in order of size, starting with the smallest integer.

The mean of x, 10 and y is 11 The range of x, 10 and y is 7

Work out the value of x and the value of y.

x =

y =

[2]

A box is put on a table.

The face of the box in contact with the table is in the shape of a rectangle, 2 m by 1.25 m. The pressure on the table due to the box is 42 newtons/m²

Work out the force exerted by the box on the table.

_newtons[3]

Behnaz makes candles.

She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax.

Behnaz sells 25 of the candles for $13 each.

She then reduces this price by 20% and sells the rest of the candles.

Work out the total amount of money Behnaz gets by selling all the candles she made.

$ [4]

(a)Expand and simplify 3(c – 7) + 2(3c + 4)

[2]

(b)Expand and simplify (x + 7)(x – 2)

[2]

(c)Factorise fully 28y²íy

[2]

Abelie flew by plane from Dubai to Rome.

The flight time was 6 hours 42 minutes. The average speed of the plane was 650 kilometres per hour.

Work out the distance the plane flew.

kilometres[3]

(a)Simplify g⁷ q g³

[1]

(b)Simplify (k³)⁵

[1]

(c)Simplify fully₂₂

[2]

(d)Make e the subject of the formula h = 3e + f

[2]

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

Work out the total amount of money in the account at the end of 3 years. Give your answer to the nearest rupee.

rupees[3]

From point A, Stanley walks 200 m due east to point B. From B, he then walks 160 m due south to point C.

Work out the length of AC. Give your answer correct to 3 significant figures.

metres[3]

The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF.

Work out the size of angle x.

[4]

ABCD is a trapezium.

Work out the size of angle x. Give your answer correct to 1 decimal place.

[4]