4MA1 Mathematics A: May/June 2019 Paper 1FRFoundation Tier Paper 1

(a)Write a number in each box so that each calculation is correct.

(i)+ 357 = 486

(ii)× 23 = 1840[2]

Here are four cards. Each card has a number on it. The four cards are arranged to make the number 2745

(b)(i)Show how the cards can be arranged to make the smallest number using all four cards.

(ii)Show how the cards can be arranged to make an even number using all four cards.[2]

The bar chart gives information about the area, in millions of hectares, of the land used in five countries to grow rice.

(a)In which of these five countries are 7 million hectares of land used to grow rice?

[1]

(b)How many millions of hectares of land are used to grow rice in China?

_{millionsofhectares}[1]

In Thailand 10 million hectares of land are used to grow rice.

(c)Draw a bar on the bar chart to show this information.[1]

More land is used to grow rice in India than in Cambodia.

(d)How many millions of hectares more? Show your working clearly.

_{millionsofhectares}[2]

(a)Write 0.72 as a fraction. Give your fraction in its simplest form.

[2]

(b)Write 34 as a percentage.

%[1]

(c)Work out 65% of 720

[2]

(d)Write these numbers in order of size. Start with the smallest number.

[2]

Here is a centimetre grid.

(a)On the grid, draw a rectangle with a perimeter of 14 cm.[2]

Here is a centimetre grid.

(b)On the grid, draw a right-angled triangle with an area of 12 cm²[2]

The table shows the temperature in each of five Canadian cities one day in January.

(a)Work out the difference between the temperature in Vancouver and the temperature in Edmonton.

°C[1]

The temperature in Yellowknife is lower than the temperature in Ottawa.

(b)How much lower?

°C[1]

The temperature in Winnipeg was 8 °C greater than the temperature in Quebec.

(c)Work out the temperature in Winnipeg.

°C[1]

(a)The diagram shows a circle with centre O.

B

Write down the word from the box that describes the line AB.

[1]

(b)The diagram shows a circle with centre O.

On the diagram, draw a radius of the circle.[1]

(c)

Work out the size of the angle marked x.

[1]

Bella buys 4 packets of sandwiches at £2.40 each packet a bottle of water for £1.20

Bella pays with a £20 note. She gets £5.75 change.

Each packet of crisps has the same price.

Work out the price of each packet of crisps.

£ [3]

(a)Simplify a + a + a + a

[1]

(b)Simplify 3c × 5c

[1]

(c)Simplify 3e + 7g + 5e – 4g

[2]

(d)Solve x – 9 = 14

x = [1]

(e)Factorise 5y + 15

[1]

(f)Make y the subject of H = 3y – w

[2]

A bag of 11 counters contains

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

(a)Find the probability that the counter will be

(i)orange

(ii)not white

(iii)green

[3]

A box of 12 toy cars contains

Some extra red cars are put in the box. When a car is taken at random from the box, the probability that the car is yellow is 16

(b)Work out the number of extra red cars that are put in the box.

[2]

Here is a number machine.

(a)Work out the output when the input is 8

[1]

(b)Work out the input when the output is 82

[2]

The input is y.

(c)Find an expression, in terms of y, for the output.

[2]

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

[3]

Three bags, A, B and C, each contain some marbles.

There is a total of 75 marbles in the three bags.

15 of the marbles are in bag A.

There are 4 more marbles in bag B than in bag C.

Work out the number of marbles in each bag.

Bag A

Bag B

Bag C [3]

Potatoes cost 2 dollars per kg. Carrots cost 3 dollars per kg.

Alfred buys p kg of potatoes and c kg of carrots. The total cost is T dollars.

Write down a formula for T in terms of p and c.

[3]

(a)On the grid above, translate shape P by the vector ⎛ −5⎞⎜

[1]

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

[3]

The diagram shows a cylinder.

The cylinder has radius 8.2 cm and height 10 cm. The cylinder is empty.

Pam pours 1.5 litres of water into the cylinder.

Work out the depth of the water in the cylinder. Give your answer correct to 1 decimal place.

cm[3]

Each interior angle of a regular polygon is 162°

Work out the number of sides the polygon has.

[3]

E = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} A = {even numbers} B = {multiples of 3}

List the members of the set

(i)A ˆ B

(ii)A ‰ B

(iii)Aމ

[3]

(a)Find the highest common factor (HCF) of 21 and 35

[1]

(b)Write 720 as a product of its prime factors. Show your working clearly.

[3]

(c)Find the smallest whole number that 720 can be multiplied by to give a square number.

[1]

Lorenzo increases all the prices on his restaurant menu by 8%

Before the increase, the price of a dessert was $4.25

(a)Work out the price of the dessert after the increase.

$ [3]

After the increase, the price of lasagne is $9.45

(b)Work out the price of lasagne before the increase.

$ [3]

The diagram shows isosceles triangle ABC.

AB = AC = 7.5 cm. The height of the triangle is 6 cm.

Calculate the area of the triangle.

cm²[4]

There are 10 people in a lift. These 10 people have a mean weight of 79.2 kg.

3 of these people get out of the lift. These 3 people have a mean weight of 68 kg.

Work out the mean weight of the 7 people left in the lift.

kg[3]

(a)Simplify t⁹÷ t³

[1]

(b)Simplify w⁵ q w⁷

[1]

(c)Simplify (5xy²)³

[2]

Change 22 metres per second to a speed in kilometres per hour. Show your working clearly.

km/h[3]

3 years ago, the ratio of Tom’s age to Clemmie’s age was 2 : 7 Tom is now 15 years old and Clemmie is now x years old.

Find the value of x.

x = [3]

A box, in the shape of a cuboid, is going to be put on a table.

The whole of one face of the box will be in contact with the table. The force exerted by the box on the table is always 105 newtons.

The box is 5 m by 4 m by 3 m.

The greatest pressure exerted by the box on the table is P newtons/m² The least pressure exerted by the box on the table is Q newtons/m²

Work out the value of PíQ

[3]