4MA1 Mathematics A: Oct/Nov 2020 Paper 2FFoundation Tier Paper 2

Here is a list of numbers.

From this list, write down

(a)an even number

[1]

(b)a multiple of 3

[1]

(c)a prime number

[1]

(d)a cube number

[1]

(a)Change 3 litres into millilitres.

millilitres[1]

(b)Change 6500 grams into kilograms.

kilograms[1]

Paula asks 16 members of her class the number of pets they each have. Here are her results.

(a)Complete the frequency table for her results.

[2]

(b)Write down the mode for the number of pets.

[1]

(c)Work out the range for the number of pets.

[1]

The table gives the minimum temperature for January 2018 in each of six cities.

(a)Which of these six cities has the lowest minimum temperature?

[1]

(b)Work out the difference between the minimum temperature of Donetsk and the minimum temperature of Sydney.

°C[1]

The minimum temperature in Edmonton for January 2018 was 50°C less than the minimum temperature in Mombasa for January 2018

(c)Work out the minimum temperature in Edmonton for January 2018

°C[1]

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

[1]

(b)Write 0.6 as a percentage.

%[1]

(c)Write 607 as a mixed number.

[1]

(d)Work out the difference between 1920 and 0.68

Give your answer as a decimal.

[2]

Here are the first five terms of a number sequence.

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

[1]

(b)Explain how you worked out your answer.

[1]

(c)Find the first number greater than 70 that is in the sequence.

[2]

Ada says,

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

[1]

The diagram shows three points, A, B and C, marked on a grid.

(a)Write down the coordinates of point A.

( , )[1]

The coordinates of the point D are (–2, –4)

(b)On the grid, mark with a cross (×) the position of D. Label the cross D.[1]

(c)Find the coordinates of the midpoint of BC.

( , )[2]

(d)On the grid, draw the line with equation x = 4[1]

Lucas is going on a country walk.

Lucas works out how long each part of his walk will take. This information is shown in the following table.

Walk from home to Village A 20 minutes

Walk from Village A to Village B 35 minutes

Stop for lunch in Village B 1 hour 15 minutes

Walk from Village B to home 30 minutes

Lucas leaves home at 11 10

At what time will Lucas get home?

[3]

Below is a conversion graph to change between metres and feet.

(a)Use the graph to change

(i)10 metres to feet,

feet

(ii)50 feet to metres.

metres[2]

Joss lives 820 metres above sea level. Nicky lives 2850 feet above sea level.

(b)Which is the greater, 820 metres or 2850 feet? You must show how you get your answer.[2]

Hugo records the number of pairs of trainers sold in each of four shoe shops last Saturday. He is going to draw a pie chart for his results.

The incomplete table shows two of Hugo’s results and the sizes of three of the angles in his pie chart.

One Stop Shoes 48

Superfast Trainers 165°

Complete the table.[4]

Work out 23% of 450 millilitres.

millilitres[2]

(a)Write down all the factors of 9

[1]

(b)Find the lowest common multiple (LCM) of 15 and 70

[2]

The diagram shows the plan of Sophia’s gym floor.

Sophia is going to paint all the gym floor.

Each tin of paint she is going to use covers an area of 20 m²

There is a special offer on the paint that Sophia is going to buy.

Work out the least amount of money that Sophia has to pay in order to buy all the paint she needs. Show your working clearly.

$ [5]

(a)Factorise 25f – 10

[1]

(b)Make y the subject of the formula c = 5y – h

[2]

(c)Solve the inequality 4x + 7 > 2

[2]

[2]

The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.

(a)Write down the modal class.

[1]

(b)Work out an estimate for the mean length of time spent by the 120 customers in the supermarket.

minutes[4]

Here is a list of ingredients needed to make apple crumble for 6 people.

Nadiya wants to make apple crumble for 14 people.

(a)Work out the amount of butter she needs.

g[2]

Alison makes apple crumble for a group of people.

She uses 630 g of oats.

(b)Work out the number of people in the group.

[2]

At a cake sale, Michael sells some lemon cakes and some chocolate cakes.

Michael sells a total of 162 cakes.

(c)Work out the number of lemon cakes Michael sells.

[2]

The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF

CDF and ADE are straight lines. Angle BCD = 58°

Work out the size of angle DEF. Give a reason for each stage of your working.

[5]

Andreas, Isla and Paulo share some money in the ratios 3 : 2 : 5

The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives.

Andreas buys a video game for £48.50 with some of his share of the money.

Work out how much money Andreas has left from his share of the money when he has bought the video game.

£ [4]

Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%

(a)Work out Himari’s salary after this increase.

JPY[3]

Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%

(b)Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.

_JPY[3]

(a)Simplify g⁶ × g⁴

[1]

(b)Simplify (3cd⁴)²

[2]

(c)Solve the simultaneous equations

Show clear algebraic working.

x =

y = [3]

The diagram shows a right-angled triangle.

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

x = [3]

The diagram shows an isosceles triangle.

Work out the area of the triangle.

cm²[4]

The diagram shows a solid cylinder with radius 3 m.

The volume of the cylinder is 72π m³

Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures.

m²[5]