4MA1 Mathematics A: January 2022 Paper 1FFoundation Tier Paper 1

The table shows the average annual rainfall, in mm, for each of five countries.

(a)Write the number 2051 in words.

[1]

(b)Write the number 1668 correct to the nearest hundred.

[1]

The average annual rainfall for Colombia is more than the average annual rainfall for Brazil.

(c)How much more?

_mm[1]

The average annual rainfall for Nigeria was 283 mm more than the average annual rainfall for France.

(d)Work out the average annual rainfall for Nigeria.

_mm[1]

The pictogram shows information about the number of text messages Colin sent on each of four days last week.

(a)How many text messages did Colin send on Tuesday?

[1]

(b)Work out the total number of text messages that Colin sent on the four days from Monday to Thursday last week.

[2]

On Friday, Colin sent 26 text messages.

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

Here is a rectangle made from squares.

(a)Shade 0.7 of the rectangle.[1]

(b)Write down the value of the 2 in the number 3.289

[1]

(c)Write 58 as a decimal.

[1]

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

[2]

The diagram shows a 5‑sided polygon.

(a)Measure the length of the side AB Give the units of your answer.

[2]

(b)Measure the size of the angle marked x

[1]

(c)On the diagram, mark with arrows (>>) a pair of parallel sides.[1]

(d)Write down the mathematical name of a 5‑sided polygon.

[1]

Angelina buys 3 packets of seeds at $2.45 each packet 2 bags of compost at $6.20 each bag

Each plant pot costs the same amount of money.

Angelina paid a total of $34.35 for the seeds, compost and plant pots.

Work out the cost of each plant pot.

$ [4]

Bohai works in a shop that sells mobile phones. Last week he sold one mobile phone to each of 300 customers.

The incomplete two‑way table shows some information about these mobile phones.

(a)Complete the two‑way table.[3]

Bohai selects at random one of these 300 customers.

(b)Write down the probability that this customer bought a type B, 64 GB mobile phone.

[1]

Bohai now selects at random one of the customers who bought a type A phone last week.

(c)Write down the probability that this customer bought a 128 GB mobile phone.

[2]

(a)Solve 5x = 30

x = [1]

(b)Solve y – 7 = 12

y = [1]

(c)Simplify h + h + h + h + h

[1]

(d)Simplify 5a + 7f – 2a + 4f

[2]

Mairi has a 2 metre length of string. She cuts from the string as many lengths of 35 centimetres as possible.

Work out the length of string that she has left. Give your answer in centimetres.

_cm[3]

(a)Write 39150 as a percentage.

%[1]

There are 30 dogs staying in some boarding kennels. 12 of the dogs are brown.

(b)What fraction of the dogs in the boarding kennels are not brown? Give your fraction in its simplest form.

[2]

(c)Show that 49 + 16 = 1118[2]

A circle has a diameter of 14 cm.

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

_cm²[2]

(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 3 decimal places.

[1]

Alisa, Jena and Mikael each pick cucumbers.

Alisa picks C cucumbers. Jena picks 5 fewer cucumbers than Alisa. Mikael picks twice as many cucumbers as Alisa.

The total number of cucumbers picked by Alisa, Jena and Mikael is T

Find a formula for T in terms of C Give your formula in its simplest form.

[3]

The diagram shows a classroom wall in the shape of a trapezium.

Dion wants to paint the classroom wall completely twice. He knows that each tin of paint will cover 12 m²

He is going to have to buy all the paint he needs.

Work out the least number of tins of paint that Dion will need to buy. Show your working clearly.

[4]

On the grid, draw the graph of y = 2x – 3 for values of x from –2 to 4

[3]

(a)On the grid above, rotate shape X 90° clockwise about O[2]

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

[2]

(a)Simplify a⁷ × a⁴

[1]

(b)Simplify w¹⁵÷ w³

[1]

(c)Simplify (8x⁵ y³)²

[2]

(d)Make t the subject of c = t³ – 8v

[2]

Danil, Gabriel and Hadley share some money in the ratios 3 : 5 : 9 The difference between the amount of money that Gabriel receives and the amount of money that Hadley receives is 196 euros.

Work out the amount of money that Danil receives.

_euros[3]

The diagram shows triangle ABC

Work out the length of the side AB Give your answer correct to 3 significant figures.

_cm[3]

Sarah makes and sells mugs.

One day she makes 150 mugs. Her total cost for making these mugs is £1140

Of these mugs

and the rest are large mugs

Here is Sarah’s price list for selling each mug.

Sarah sells all 150 mugs.

Work out her percentage profit. Give your answer correct to the nearest whole number.

%[5]

Jenny has six cards.

Each card has a whole number written on it so that

the smallest number is 5 the largest number is 24 the median of the six numbers is 14 the mode of the six numbers is 8

Jenny arranges her cards so that the numbers are in order of size.

5 24

(a)For the remaining four cards, write on each dotted line a number that could be on the card.[3]

A basketball team plays 6 games. After playing 5 games, the team has a mean score of 21 points per game. After playing 6 games, the team has a mean score of 23 points per game.

(b)Work out the number of points the team scored in its 6th game.

[3]

(a)Solve the inequality 5x – 7  2

[2]

(b)(i)Factorise y²– 2y – 35

[2]

(ii)Hence, solve y²– 2y – 35 = 0

[1]

A ∩ B = {5, 10, 15}

B¢ = {7, 8, 9, 11, 12, 13, 14}

A¢ = {4, 6, 7, 8, 14}

Complete the Venn diagram for this information.

[3]

Work out the value of a × b Give your answer in standard form.

[2]

The diagram shows isosceles triangle ABC

AB = AC = 17.5 cm BC = 28 cm

Calculate the area of triangle ABC

_cm²[4]

The straight line L has equation 2y + 7x = 10

(a)Find the gradient of L

[2]

(b)Find the coordinates of the point where L crosses the y‑axis.

( , )[1]