4MA1 Mathematics A: Oct/Nov 2024 Paper 2FFoundation Tier Paper 2

(a)Write the number 7823 correct to the nearest hundred.

[1]

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

(i)0.4 × = 4000[1]

(ii)3600 ÷ = 3.6[1]

(c)Write down four factors of 18

[1]

(d)Which one of the following numbers is a prime number?

[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 found your answer to part (a)(i)

[1]

The 14th term of the sequence is 63

(b)Find the sum of the 16th term and the 17th term of the sequence.

[2]

Felix says that 98 is a term of the sequence. Felix is wrong.

(c)Explain why Felix is wrong.

[1]

The bar chart shows information about the area, in thousands of hectares, that was used to grow cucumbers in each of four countries in 2021

(a)Write down the number of hectares that were used to grow cucumbers in Egypt.

thousand[1]

More hectares were used to grow cucumbers in Mexico than in Spain.

(b)How many more?

thousand[1]

In Norway, 17 thousand hectares were used to grow cucumbers.

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

Here is a rectangle made of squares.

(a)Shade 37 of the rectangle.[1]

Here are five fractions.

(b)Write down the two fractions that are equivalent to 34

and [2]

(c)Write 247 as a mixed number.

[1]

(d)Write 910 as a percentage.

%[1]

There are 80 crayons in a box.

25 of the crayons are red.

(e)Work out the number of crayons that are not red.

[2]

The table shows information about the shoe sizes of the 25 children in a nursery class.

Shoe size Frequency

18 2

19 4

20 5

21 6

22 8

Find the median shoe size.

[2]

Plates cost $14 each. Ben has $250 to spend.

Ben buys as many plates as he can.

How much of the $250 does he have left?

$ [3]

One weekend, Marion went on four walks.

Here are the distances Marion walked

The same weekend, Talha walked a total of 8 kilometres.

Talha walked a greater distance than Marion walked.

How much greater? Give your answer in metres.

metres[4]

(a)Simplify 7g  3h  4g  5h

[2]

(b)Simplify 7a × 4m

[1]

(c)Solve 5x  7  12

[2]

(d)Expand 57k  3

[1]

(e)Factorise 9 y + 12

[1]

Max has c counters. Bulan has 3 times as many counters as Max. Chanda has 7 more counters than Max.

(f)Write an expression, in terms of c, for the total number of counters that Max, Bulan and Chanda have. Simplify your answer.

[3]

Don got on a bus at 07 35

He got off the bus at 13 25

How long was Don on the bus? Give your answer in hours and minutes.

hours minutes[2]

Here is a cuboid.

Work out the volume of the cuboid.

cm³[2]

ABC is a triangle. BCD and ACE are straight lines.

Work out the value of x

[2]

In an orchard, there are 240 fruit trees. There are only apple trees and pear trees such that

number of apple trees : number of pear trees = 5 : 3

64% of the apple trees produce cooking apples.

Work out the number of apple trees that produce cooking apples.

[4]

(a)Use your calculator to work out the value of

Give your answer as a decimal. Write down all the figures on your calculator display.

[2]

(b)Write your answer to part (a) correct to one decimal place.

[1]

The diagram shows a shape ABCDE made from a square ABDE and an isosceles triangle BCD

The area of square ABDE is 49 cm² The perimeter of triangle BCD is 27 cm

Work out the perimeter of ABCDE

cm[3]

Describe fully the single transformation that maps shape A onto shape B

[3]

A circle has radius 9 cm

Work out the area of the circle. Give your answer correct to 3 significant figures.

cm²[2]

Show that 157  2 316  3 34[3]

The length of a table is measured as 1.4 metres correct to one decimal place.

(a)Write down the upper bound of the length of the table.

metres[1]

(b)Write down the lower bound of the length of the table.

metres[1]

The diagram shows triangle PQR

Work out the value of x Give your answer correct to one decimal place.

[3]

N is a number. 17% of N is 357

(a)Work out the value of N

[2]

In 2019, the population of a village was 650 In 2020, the population of the village was 806

(b)Work out the percentage increase in the population.

%[3]

Cody has a biased 5-sided spinner, numbered 1, 2, 3, 4, 5

The table gives the probabilities that when the spinner is spun it will land on 2 or on 3 or on 5

The probability that the spinner will land on 1 is the same as the probability that the spinner will land on 4

Cody is going to spin the spinner 400 times.

Work out an estimate for the number of times the spinner will land on 4

[4]

The diagram shows a solid triangular prism.

Work out the total surface area of the triangular prism.

cm²[3]

(a)On the grid, draw the straight line with equation

(i)x = 3 (ii) y = 1 (iii) x  y  7

Label each line with its equation.

[3]

(b)Show, by shading on the grid, the region that satisfies all three of the inequalities

Label the region R[1]

Kim puts 4 bananas in a bag. The mean weight of the 4 bananas in the bag is 145 grams.

Andy puts one more banana into the bag. The mean weight of the 5 bananas in the bag is 142 grams.

Work out the weight of the banana that Andy puts into the bag.

grams[3]

Nisha invests 20 000 euros for 3 years in a savings account. She gets 3.5% per year compound interest.

Work out how much money Nisha will have in her savings account at the end of the 3 years. Give your answer correct to the nearest euro.

euros[3]

All the students in year 10 and all the students in year 11 named their favourite science subject from Biology, Chemistry and Physics.

The pie chart shows information about the results for the year 10 students. The table shows information about the results for the year 11 students.

There are 300 students in year 10 There are 320 students in year 11

More students in year 10 than in year 11 said Biology was their favourite science subject.

How many more?

[5]

ABCDE is a regular pentagon. DEFGHI is a regular hexagon.

AF is a straight line.

Work out the size of angle EAF

[5]