4MA1 Mathematics A: January 2021 Paper 2FFoundation Tier Paper 2

Here is a list of numbers in a box.

From the numbers in the list, write down

(a)a multiple of 11

[1]

(b)a factor of 30

[1]

(c)a square number

[1]

(d)a prime number

[1]

(e)two numbers whose sum is 84

_and [1]

The students in class 7T were asked how they got to school one day.

Here is a list of their method of travel to school.

(a)Complete the frequency table for the methods of travel in the list.

[2]

(b)Draw a bar chart for the information in your table.[3]

The temperature in New York is –2 °C

At the same time, the temperature in Rabat is 16 °C higher than the temperature in New York.

(a)Work out the temperature in Rabat.

°C[1]

Also, at the same time, the temperature in Helsinki is 17 °C lower than the temperature in New York.

(b)Work out the temperature in Helsinki.

°C[1]

A rectangle is made from 30 small coloured square tiles.

There are yellow tiles, blue tiles and red tiles.

30% of the rectangle is made from yellow tiles.

13 of the rectangle is made from blue tiles.

The rest of the rectangle is made from red tiles.

(a)Work out the number of red tiles.

[3]

(b)Put the following numbers in order of size. Start with the smallest number.

[2]

Here is a number machine.

(a)Work out the output when the input is 7

[1]

(b)Work out the input when the output is 160

[2]

When the input is n, the output is P.

(c)Find a formula for P in terms of n.

[2]

The diagram shows a solid prism.

(a)How many vertices has the prism?

[1]

(b)How many faces has the prism?

[1]

(c)Using ruler and compasses only, in the space below construct the equilateral triangle ABC with sides of length 7 cm. You must show all your construction lines.

Side AB has already been drawn for you.

[2]

(a)Simplify p + p + p + p + p + p

[1]

(b)Simplify 5y²+ 6y²– 3y²

[1]

(c)Simplify e × e × e × e × e

[1]

(d)Simplify 5c × 4d

[1]

(e)Solve x – 7 = 19

x = [1]

18²+ 15²– 5³= 4n

(f)Work out the value of n.

n = [2]

(g)Factorise 9t – 6

[1]

Paolo has a bag of flour. The flour in the bag has a weight of 3 kilograms.

Paolo makes 8 pies using the flour in the bag.

3 of the pies each need 150 grams of the flour. 5 of the pies each need 180 grams of the flour.

Work out the weight of flour that remains in the bag when Paolo has made these pies. Give your answer in grams.

_grams[3]

Grace has a fair spinner and a fair dice.

The spinner is 3-sided and can land on 6, 7 or 8 The dice can land on 1, 2, 3, 4, 5 or 6

Grace spins the spinner once and throws the dice once.

Grace subtracts the number that the dice lands on from the number that the spinner lands on to get her score.

(a)Complete the table to show all possible scores. Eight of the scores have been done for you.

[2]

Grace spins the spinner once and throws the dice once.

(b)Find the probability that her score is less than 6

[1]

(c)Find the probability that her score is an odd number.

[1]

The diagram shows a right-angled triangle.

The perimeter of the triangle is 126 cm.

Work out the area of the triangle.

_cm²[4]

ABD is a triangle.

AEDF, BCDG and HCEJ are straight lines. BA is parallel to HCEJ.

Work out the size of the angle marked x.

[3]

Elvira and Anja go on holiday to Sweden and to Finland.

In Sweden, Elvira bought some trainers for 438 Swedish krona. In Finland, Anja bought the same type of trainers for 44.39 euros.

1 Swedish krona = 0.12 dollars

1 dollar = 0.92 euros

Work out the difference in the cost of the trainers bought by Elvira and the trainers bought by Anja. Give your answer in dollars.

_dollars[4]

The diagram shows the positions of three villages, R, T and W.

(a)Work out the bearing of village W from village R.

[1]

(b)Work out the bearing of village R from village T.

[2]

The diagram shows a trapezium.

(a)Work out the area of the trapezium.

cm²[2]

The diagram shows a cuboid.

The volume of the cuboid is 806 cm³

(b)Work out the value of x.

x = [3]

A train takes 6 hours 39 minutes to travel from New Delhi to Kanpur. The train travels a distance of 429 km.

Work out the average speed of the train. Give your answer in km/h correct to one decimal place.

km/h[3]

Ava writes down five whole numbers.

For these five numbers

the median is 7

the mode is 8

the range is 5

Find a possible value for each of the five numbers that Ava writes down.

[3]

Gladys buys a table for $465 to sell in her shop.

She sells the table for $520

(a)Work out the percentage profit that Gladys makes from the sale of the table. Give your answer correct to 3 significant figures.

%[3]

Gladys has a sale in her shop.

She decreases all the normal prices by 12% The normal price of an armchair was $550

(b)Work out the sale price of the armchair.

$ [3]

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

(i)x = 1.5

(ii)y = x

(iii)x + y = 6[3]

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

Label the region R.[1]

(a)Expand and simplify 4x(2x + 5) – 3x(2x – 3)

[2]

Given that × yy₆ = y

(b)work out the value of n.

n = [2]

(c)(i)Solve the inequality 7t – 8 < 2t + 7

[2]

(ii)On the number line below, represent the solution set of the inequality solved in part (c)(i)

[1]

(a)Write down the value of y⁰

[1]

(b)Work out 9.6 × 103.2 × 10₁₆

Give your answer in standard form.

[3]

There are 5 cocoa pods in a bag. The mean weight of the 5 cocoa pods is 398 grams.

A sixth cocoa pod is put into the bag. The mean weight of the 6 cocoa pods is 401 grams.

Work out the weight of the sixth cocoa pod that is put into the bag.

_grams[3]

A, B and C are points on a circle with centre O.

AOC is a diameter of the circle.

AB = 8 cm BC = 15 cm

Angle ABC = 90°

Work out the total area of the regions shown shaded in the diagram. Give your answer correct to 3 significant figures.

cm²[5]

Find the lowest common multiple (LCM) of A and B. Give your answer as a product of powers of prime numbers.

[2]

The people working for a company work in Team A or in Team B.

45 of Team A work full time.

24% of Team B work full time.

Work out what fraction of the people working for the company work full time. Give your fraction in its simplest form.

[3]