4MA1 Mathematics A: May/June 2021 Paper 1FFoundation Tier Paper 1

From the numbers in the box, write down

(a)a factor of 40

[1]

(b)a multiple of 7

[1]

(c)a prime number

[1]

(d)a square number

[1]

(e)the two numbers with a difference of 31

_and [1]

The diagram shows part of a number line.

(a)Write down the number marked with the arrow.

[1]

The diagram shows a parcel on weighing scales.

The parcel weighs less than 6 kg.

(b)How many kilograms less?

_kilograms[1]

(c)Change 7.6 metres into centimetres.

_centimetres[1]

(d)Change 91 600 millilitres into litres.

_litres[1]

Ivan goes to the gym at 7 15 pm.

(e)Write this time using the 24-hour clock.

[1]

Find the number that is exactly halfway between 3.7 and 6.1

[2]

(a)Simplify 3 × 10d

[1]

(b)Simplify 8e + e − 5e

[1]

(c)Solve 6g = 42

g = [1]

(d)Solve 24 = 10 + h

h = [1]

(a)Write these numbers in order of size.

Start with the smallest number.

[1]

(b)Write 5.8394 correct to 2 decimal places.

[1]

(c)Write 0.73 as a fraction.

[1]

(d)Write down the value of the 6 in the number 0.067

[1]

(e)Write 17% as a decimal.

[1]

70% of a number is 252

(f)Work out the number.

[2]

Janine has 2 litres of orange squash.

She also has some empty cups. When full, each cup holds 300 millilitres of orange squash.

Janine fills as many cups as possible.

How much orange squash does Janine have left after filling as many cups as possible? State the units of your answer.

[3]

The diagram shows a rectangle and a square.

The perimeter of the rectangle is equal to the perimeter of the square. The area of the rectangle is less than the area of the square.

Work out by how much the area of the rectangle is less than the area of the square.

cm²[4]

Some students leaving a language school one day were each asked which language lesson they had just attended.

The table and the pie chart give some information about their answers.

(a)Work out the number of students who answered French.

[2]

(b)Complete (i) the table and (ii) the pie chart.[3]

In a shop, pens cost 34 cents each.

The shop has a special offer on the pens.

Moritz wants 25 pens.

Work out how much Moritz has to pay for 25 pens.

cents[3]

(a)Write these fractions in order of size. Start with the smallest fraction.

[2]

There are only green beads and red beads in a bag.

The ratio of the number of green beads to the number of red beads is 5 : 9

(b)What fraction of the beads in the bag are green beads?

[1]

The diagram shows a square ABCD and a regular pentagon CDEFG.

Work out the size of the angle marked x.

[3]

The diagram shows a shaded shape on a grid.

(a)On the grid, reflect the shape in the line with equation x = 6[2]

The diagram below shows triangle P and triangle Q drawn on a grid.

(b)Describe fully the single transformation that maps triangle P onto triangle Q.[3]

Buses leave a bus station to go to the hospital every 16 minutes. Buses leave the same bus station to go to the college every 20 minutes.

At 9 am a bus leaves the bus station to go to the hospital and at the same time a bus leaves the bus station to go to the college.

Work out the next time that a bus leaves the bus station to go to the hospital and at the same time a bus leaves the bus station to go to the college.

[3]

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

A = {even numbers}

B = {multiples of 3}

Complete the Venn diagram for the sets E, A and B.[3]

150 students were each asked to name their favourite sport from hockey, rugby and football.

The two-way table gives information about the results.

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

(b)Work out what percentage of the 150 students are in year 10

%[2]

A plane flew from Madrid to Dubai.

The distance the plane flew was 5658 km. The flight time was 8 hours 12 minutes.

Work out the average speed of the plane.

_km/h[3]

Here are the first 4 terms of an arithmetic sequence.

Find an expression, in terms of n, for the nth term of the sequence.

[2]

The diagram shows the shape ABCDE.

The area of the shape is 91.8 cm²

Work out the value of x.

x = [4]

On a farm there are chickens, ducks and pigs.

The ratio of the number of chickens to the number of ducks is 7 : 2 The ratio of the number of ducks to the number of pigs is 5 : 9 There are 36 pigs on the farm.

Work out the number of chickens on the farm.

[3]

(a)Expand and simplify 3x(2x + 3) – x(3x + 5)

[2]

(b)Make t the subject of the formula p = at – d

[2]

Given that × ww₃ = w

(c)work out the value of n.

n = [2]

Grace has a biased 5-sided spinner.

Grace is going to spin the arrow on the spinner once.

The table below gives the probabilities that the spinner will land on red or on blue or on green.

The probability that the spinner will land on orange is 3 times the probability that the spinner will land on pink.

(a)Work out the probability that the spinner will land on orange.

[3]

Grace spins the arrow on the spinner 150 times.

(b)Work out an estimate for the number of times the spinner lands on blue.

[2]

(a)

Write down the inequality shown on the number line.

[1]

−4  2y < 6

y is an integer.

(b)Write down all the possible values of y.

[2]

(c)Solve the inequality 7t – 3  2t + 31

Show your working clearly.

[2]

The table shows the populations of five countries.

(a)Work out the difference between the population of China and the population of Germany. Give your answer in standard form.

[2]

Given that

(b)work out the value of k. Give your answer correct to the nearest whole number.

k = [2]

(a)Factorise fully 25a⁴ c⁷ d + 45a⁹ c³ h

[2]

(b)Solve (2x + 5)²= (2x + 3)(2x – 1)

x = [3]

Jethro has sat 5 tests. Each test was marked out of 100 and Jethro’s mean mark for the 5 tests is 74

Jethro has to sit one more test that is also to be marked out of 100

Jethro wants his mean mark for all 6 tests to be at least 77

Work out the least mark that Jethro needs to get for the last test.

[3]