4MA1 Mathematics A: January 2022 Paper 2FRFoundation Tier Paper 2

The table gives the total area of forest in each of six countries.

(a)Which of these six countries has the least total area of forest?

[1]

(b)Write down the value of the 4 in 92 410

[1]

Two of the six countries each have a total area of forest of 5000 km² when rounded to the nearest thousand.

(c)Write down the name of the two countries.

_and [1]

(d)Write the number 3371 in words.

[1]

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

(a)Write down the coordinates of

(i)point A

( , )

(ii)point B

( , )[2]

D is the point such that ABCD is a rhombus.

(b)On the grid, mark with a cross ( × ) the point D Label this point D[1]

(c)Find the coordinates of the midpoint of AB

( , )[2]

(a)Write down the mathematical name of this 3-D shape.

[1]

Here is a solid prism.

(b)How many edges has the prism?

[1]

Here are the salaries, in thousands of dollars, of seven people.

(a)Find the mode of the salaries.

_{thousanddollars}[1]

(b)Find the range of the salaries.

_{thousanddollars}[1]

(a)Work out 45 of 80

[1]

(b)Write 920 as a decimal.

[1]

Here are four fractions.

When written as a decimal, one of these fractions will give a terminating decimal.

(c)Write down the fraction.

[1]

(d)Write 114 as a mixed number in its simplest form.

[1]

Here is a list of four words that can be used to describe numbers.

(e)Use the word from the list to complete the sentence below correctly.

25 is a number[1]

Here is a square.

The perimeter of the square is 24 cm.

The shaded rectangle below is made from 4 of these squares.

Work out the perimeter of the shaded rectangle.

_cm[3]

(a)Write the ratio 42 : 96 in its simplest form.

[2]

There are only apples and pears in a fruit basket so that

the number of apples : the number of pears = 4 : 11

(b)What fraction of the fruit in the basket is pears?

[1]

Danielle is going to print some business cards.

She uses this rule to work out the total cost, in euros, of printing the business cards.

price per card = 0.14 euros fixed fee = 25 euros

Danielle is going to print 350 business cards.

Work out the total cost of printing the business cards.

_euros[3]

Here is a quadrilateral.

(i)Work out the value of x

x = [3]

(ii)Give a reason for your answer.

[1]

Thabisa is organising a trip to the theatre.

The cost of a ticket for each adult is £11.75 The total cost of the tickets for 12 adults and 5 children is £181

Work out the cost of a ticket for each child.

£ [3]

At school each week, Gabriella has to play a sport on Monday and a sport on Thursday.

The table shows the sports from which she can choose on Monday and the sports from which she can choose on Thursday.

Write down all the possible combinations of these sports that Gabriella can play in one week.

[2]

Maria is going to make some flapjacks.

Here are four of the ingredients that she will use.

175 g butter 175 g syrup 175 g sugar 330 g oats

What percentage of these four ingredients is oats? Give your answer correct to 3 significant figures.

_%[3]

The diagram shows a solid wooden cuboid.

The cuboid measures 65 cm by 35 cm by 45 cm.

A machine cuts the cuboid to make cubes. Each cube has edges of length 5 cm.

Work out the maximum number of cubes that can be made from the cuboid.

[3]

Anjali, Ravina and Sandeep were the three candidates in an election.

Heidi draws a pie chart for the number of votes received by each of the three candidates.

The angle in the pie chart for the number of votes received by Anjali is 90° The angle in the pie chart for the number of votes received by Ravina is 160°

Ravina received 400 votes.

Work out the number of votes Sandeep received.

[3]

(a)Solve 5c = 15

c = [1]

(b)Expand x(8 – x)

[1]

T = 5m – 6n

(c)Work out the value of T when m = 4.2 and n = –2.5

T = [2]

(d)Make g the subject of k = 2g + t

[2]

(a)Show that 38  2732  49[2]

(b)Show that 56  38  1124[2]

The accurate scale drawing shows the position of a college C and a train station S

(a)Find the bearing of S from C

[1]

For Charles, 1 step = 0.44 m

(b)Work out the number of steps Charles walks as he goes in a straight line from the college to the train station. Give your answer correct to the nearest whole number of steps.

[4]

A tin contains tea bags with a choice of four different flavours of tea. The four flavours of tea are Assam or Darjeeling or Nilgiri or Rize.

Sara takes at random a tea bag from the tin.

The table shows each of the probabilities that the flavour of the tea Sara takes is Assam or Darjeeling or Rize.

(a)Work out the probability that the flavour of the tea Sara takes is Nilgiri.

[2]

(b)Work out the probability that the flavour of the tea Sara takes is either Darjeeling or Rize.

[2]

Mary saves for a holiday each year.

In 2020 she saved a total of $720 In 2021, each month she saved $78

The total amount Mary saved in 2021 was P% more than the total she saved in 2020

(a)Work out the value of P

[4]

Roberto is going to go on holiday.

He has two coupons that will save him money on his holiday.

the cost of the accommodation is $1600 the cost of the flights is $800

Roberto can only use one of the coupons. He wants to save as much money as he can.

(b)Which of the two coupons, A or B, should he use? Show your working clearly.[3]

(a)Solve 4y + 5 > 12

[2]

(b)Solve 6x  5  4x  72

Show clear algebraic working.

x = [3]

The diagram shows a regular octagon ABCDEFGH and a regular pentagon ABIJK

Work out the size of the angle x

[4]

Shane invests 7200 dollars for 3 years in a savings account. He gets 2.5% per year compound interest.

How much money will Shane have in his savings account at the end of 3 years? Give your answer to the nearest dollar.

_dollars[3]

(a)Write down the value of x⁰

[1]

Given that 2^–3 × 2⁹= 2ⁿ

(b)find the value of n

n = [1]

7^206m₃ Given that  77₂₁₄  7

(c)find the value of m

m = [2]

(a)Write down an equation of the straight line with gradient –3 and which passes through the point with coordinates (0, 5)

[2]

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

Label the region R

[3]

A scientist is investigating the weight of 50 tigers.

Here is some information about these tigers.

Type of tiger

Mean weight of tigers (kg) 260

The mean weight of all 50 tigers is 218 kg

Work out the mean weight of the Bengal tigers.

_kg[3]

In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc.

The points D and F lie on AC so that DF is the diameter of the semicircular arc DEF The radius of the semicircular arc is 3 cm.

Work out the length of AFEDC Give your answer correct to 2 significant figures.

_cm[5]