4MA1 Mathematics A: May/June 2024 Paper 2FRFoundation Tier Paper 2

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

[1]

(b)Write these decimals in order of size. Start with the smallest decimal.

[1]

(c)Write in figures the number five thousand and eighty four.

[1]

(d)Write down the value of the 3 in the number 1324

[1]

The bar chart gives information about the total number of countries in each of five continents.

The total number of countries in Europe is 44

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

(b)Write down the name of the continent with 23 countries.

[1]

(c)Which continent has 4 times as many countries as South America?

[1]

(d)Work out the sum of the total number of countries in Africa and the total number of countries in Oceania.

[1]

The diagram shows part of a number line.

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

[1]

(b)On the diagram below, draw an arrow to show a temperature of 240°C

[1]

(c)Write the number 0.786 correct to 2 decimal places.

[1]

Here is a quadrilateral.

(a)What is the mathematical name for this type of quadrilateral?

[1]

The diagram shows a 3-D shape.

(b)(i)What is the mathematical name for this 3-D shape?

[1]

(ii)How many edges has this shape?

[1]

Mina has 5 litres of water in a bottle and some empty cups. She fills as many cups as possible with water from the bottle. She fills each cup with 280 millilitres of water.

Work out how many cups Mina completely fills.

[3]

(a)Find the value of 3.4²

[1]

(b)Find the cube root of 373 248

[1]

(c)Write 7  7  7  7  7  7 as a single power of 7

[1]

(d)Write one set of brackets in each calculation to make the answer correct.

(i)5 + 3 × 2 = 16[1]

(ii)10 − 8 − 10 − 6 ÷ 2 = 0[1]

Here are the first five terms of a number sequence.

(a)(i)Write down the next term of the sequence.

[1]

(ii)Explain how you worked out your answer.

[1]

(b)Explain why 326 cannot be a term of the sequence.

[1]

Barsha buys some nails and some bolts.

Each box of nails costs £2.60 Each pack of bolts costs £3.94

Barsha buys 5 boxes of nails and 4 packs of bolts. He pays with a £50 note.

Work out how much change he should get.

£ [3]

(a)Simplify c × c × c

[1]

(b)Simplify 12d × 3e

[1]

(c)Solve k4 = 7

k = [1]

(d)Solve 2g  3  6

g = [2]

(e)Expand x(x – 4)

[1]

P  4 y²  w

(f)Work out the value of P when y = −3 and w = 2

P = [2]

Use a ruler and compasses only to construct a square with sides of length 7 cm. You must show all your construction lines. Two sides of the square have been drawn for you.[2]

A café sells 4 different types of cake.

Nala is going to choose 2 different types of cake.

(a)Write down all the possible combinations she can choose.

[2]

The two-way table gives some information about the flavours of ice creams sold by the café on Saturday and on Sunday.

(b)Complete the two-way table.[2]

Nala asks 100 students whether they prefer cake or ice cream.

33 of the students prefer cake.

One of the 100 students is chosen at random.

(c)Find the probability that this student does not prefer cake.

[1]

The size of each exterior angle of a regular polygon is 15°

Work out the number of sides of the regular polygon.

[2]

On the grid, draw the graph of y = 5 − 2x for values of x from –2 to 3

[3]

Bilpa, Claudia and David share 1200 euros.

Bilpa gets 15 of the 1200 euros.

Claudia gets 42% of the 1200 euros.

David gets the rest of the 1200 euros.

Given that

the amount of money Bilpa gets : the amount of money David gets = 1 : n

work out the value of n

n = [4]

The table shows information about the number of oranges in each of 30 bags.

Number of oranges Frequency

11 7

12 8

13 7

14 5

15 1

16 2

(a)Write down the mode of the number of oranges in a bag.

[1]

(b)Work out the mean number of oranges in a bag.

[3]

Footballs are made in a factory.

On Monday, 375 footballs per hour were made in the factory. On Monday, footballs were made in the factory for 8 hours.

On Tuesday, 20% more footballs were made than on Monday. On Tuesday, 300 footballs per hour were made in the factory.

Work out for how many hours the factory made footballs on Tuesday.

hours[4]

Write 1400 as a product of powers of its prime factors. Show your working clearly.

[3]

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

[2]

(b)On the grid above, rotate shape A 180° about (−1, 0) Label your shape C[2]

Here is a list of four numbers written in ascending order of size

where x and y are integers.

The numbers have

a median of 12.5 a range of 4

Find the value of x and the value of y

x =

y = [2]

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {factors of 6} B = {prime numbers}

(a)List the members of the set

(i)A ∪ B

[1]

(ii)A′

[1]

Harpreet states that A  B  

Harpreet is incorrect.

(b)Explain why.

[1]

C is a set with 4 members such that

the set A ∩ C has 2 members the set B ∩ C has 2 members

Set A ∩ C and set B ∩ C have no members in common.

(c)List the 4 members of set C

[2]

The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD

The circle touches the square at the points E, F, G and H

The area of the square is 81 cm²

Calculate the total length of wire that will be needed to make the square and the circle. Give your answer correct to 3 significant figures.

cm[4]

(a)Solve 2 f3  4 f  17

Show clear algebraic working.

f = [3]

(b)Simplify (e + 12)⁰ where e > 0

[1]

(c)Simplify fully

[2]

(d)Factorise fully 20x⁵ y + 12x³ y⁴

[2]

3²  3⁵_n

Find the value of n

n = [2]

In a sale, all normal prices are reduced by 17%

The sale price of a fridge is 6225 rupees.

Work out the normal price of the fridge.

rupees[3]

(a)Write 6.04 × 10⁵ as an ordinary number.

[1]

(b)Write 0.000 07 in standard form.

[1]

(c)Work out

Give your answer in standard form.

[2]

The diagram shows a hexagon ABCDEF

Angle BCF = 30° AB, FC and ED are parallel.

Calculate the area of ABCDEF Show your working clearly.

cm²[5]