4MA1 Mathematics A: January 2020 Paper 1FFoundation Tier Paper 1

The table shows the land area, in km², of each of six African countries.

(a)Write down the name of the country with the greatest land area.

[1]

(b)Write 823 290 correct to the nearest thousand.

[1]

(c)Work out the difference between the land area of Botswana and the land area of Kenya.

_km²[1]

The land area of the Gambia is 10 120 km²

(d)Write the number 10 120 in words.

[1]

The bar chart shows information about the weight, in millions of tonnes, of bananas produced by each of four countries in 2016

In 2016, China produced 13 million tonnes of bananas.

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

One of these countries produced 6.8 million tonnes of bananas in 2016

(b)Which country?

[1]

In 2016, a total of 113 million tonnes of bananas was produced worldwide.

(c)What fraction of the 113 million tonnes of bananas was produced in India in 2016?

[2]

(a)Complete the following sentences by writing a sensible metric unit on each of the dotted lines.

(i)The distance from Cairo to Nairobi is 5211

(ii)The weight of an egg is 20

(iii)The area of the floor of a classroom is 260 [3]

Cara has a bottle of juice. There is 1 litre of juice in the bottle.

Cara makes some drinks. She uses exactly 30 millilitres of this juice to make each drink.

Cara makes as many drinks as possible.

(b)How many drinks does Cara make?

[3]

Here is a sequence of patterns made from square tiles.

(a)In the space below, draw Pattern number 4[1]

(b)Complete the table.

[1]

(c)Work out the number of tiles in Pattern number 30

[2]

Liz says that in Pattern number n, the number of tiles is 2n.

(d)Is Liz correct? You must give a reason for your answer.

[1]

Paul is buying a sandwich and a drink in a meal deal.

He can have a cheese sandwich (C) or an egg sandwich (E) or a tomato sandwich (T). He can have orange juice (O) or milk (M ) or water (W ) to drink.

Write down all the possible combinations Paul can buy.

[2]

(a)Write 14 as a decimal.

[1]

(b)Write 3410 as a mixed number in its simplest form.

[2]

(c)Show that 34 ÷ 1516 = 45[2]

ABDE is a quadrilateral. ABC is a triangle. DCB is a straight line.

(a)(i)Work out the value of x.

x = [1]

(ii)Give a reason for your answer.

[1]

(b)Work out the value of y. Give a reason for each stage of your working.

y = [3]

(a)Simplify 6m − 2k + 5m − k

[2]

P = 2a + 3b

(b)Work out the value of P when a = 5 and b = 8

P = [2]

P = 2a + 3b

(c)Work out the value of a when P = 16 and b = 20

a = [3]

Kamal sells 240 ice creams for a total of $640

13 of the ice creams he sells are large.

The cost of each large ice cream he sells is $3.80

All the other ice creams he sells are small. He sells each small ice cream for the same cost.

Work out the cost of each small ice cream.

$ [4]

(a)Write the ratio 32 : 80 in its simplest form.

[2]

There are only red counters and blue counters in a bag. In the bag the number of red counters : the number of blue counters = 5 : 7

(b)What fraction of the counters in the bag are red?

[1]

Kwo asked 40 people where they went on holiday last year. He is going to draw a pie chart for his results.

16 of the 40 people said they went to Egypt.

(a)Work out the size of the angle in the pie chart for Egypt.

[2]

Tiffany asked some people what type of holiday they each like the best. She used her results to draw this pie chart.

48 of the people that Tiffany asked said they like beach holidays the best.

(b)Work out how many of the people Tiffany asked said they like walking holidays the best.

[2]

Sam takes an English exam. There are two papers in the exam. Each paper has a maximum mark of 80

To pass the exam, Sam needs to get at least 60% of the total marks.

Sam gets 55% of the 80 marks in paper 1

Work out the least number of marks that Sam must get in paper 2 to pass the English exam.

[4]

The scale drawing shows the positions of a ship, S, and a port, P.

(a)Find the bearing of S from P.

[1]

The ship S now sails directly towards port P. The ship sails at an average speed of 24 km/h.

(b)Work out how long it takes the ship to get to P. Give your answer correct to the nearest hour.

_hours[4]

The point A has coordinates (5, −4) The point B has coordinates (13, 1)

(a)Work out the coordinates of the midpoint of AB.

( , )[2]

Line L has equation y = 2 − 3x

(b)Write down the gradient of line L.

[1]

Line L has equation y = 2 − 3x

(c)Does the point with coordinates (100, −302) lie on line L? You must give a reason for your answer.

[1]

(a)Find the highest common factor (HCF) of 28 and 70

[2]

(b)Find the lowest common multiple (LCM) of 28 and 105

[2]

The diagram shows a shape.

The shape has area 129 cm²

Work out the value of x.

x = [4]

The table shows information about the weights, in kilograms, of 40 babies.

(a)Write down the modal class.

[1]

(b)Work out an estimate for the mean weight of the 40 babies.

_kg[4]

One of the 40 babies is going to be chosen at random.

(c)Find the probability that this baby has a weight of more than 5 kg.

[2]

120 children go on an activity holiday. The ratio of the number of girls to the number of boys is 3 : 5

On Sunday, all the children either go sailing or go climbing.

1625 of the boys go climbing.

Twice as many girls go sailing as go climbing.

Work out how many children go sailing on Sunday.

[6]

y

On the grid, enlarge the shaded shape with scale factor 12 and centre (1, 2)[2]

(a)Write 7.8 × 10⁻⁴ as an ordinary number.

[1]

(b)Work out 5.6 × 102.8 × 10₋₃

Give your answer in standard form.

[2]

(a)Expand and simplify (m − 8)(m + 5)

[2]

(b)Factorise fully 5y + 20y²

[2]

(c)Simplify ( p² + 3)⁰

[1]

(d)Solve 3(2x − 5) = 9 − x2

Show clear algebraic working.

x = [4]

Here is a right-angled triangle.

Calculate the length of PQ. Give your answer correct to 3 significant figures.

_cm[3]