4MA1 Mathematics A: January 2021 Paper 1FRFoundation Tier Paper 1

The table shows the heights, in metres, of five mountains.

(a)Which of these mountains has the greatest height?

[1]

(b)Write the number 5895 in words.

[1]

(c)Write down the value of the 8 in 4810

[1]

(d)Work out the difference between the height of Aconcagua and the height of Puncak Jaya.

_metres[1]

Caroline has a bag containing 10 counters.

In the bag there are

7 red counters 2 blue counters 1 green counter

Caroline is going to choose at random a counter from the bag.

(a)Write down the word from the box that best describes the likelihood that Caroline will take

(i)a red counter,

(ii)a yellow counter.

[2]

Jamil is going to roll a fair six‑sided dice.

(b)On the probability scale, mark with a cross (X) the probability that the dice will land on an odd number.

[1]

(c)On the probability scale, mark with a cross (X) the probability that the dice will land on 2

[1]

Here is a quadrilateral.

(a)What is the mathematical name of this quadrilateral?

[1]

(b)Measure the size of the angle marked x.

[1]

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

The quadrilateral has four angles.

(d)How many of these angles are right angles?

[1]

Iwan is going to buy the following items

1 plant pot at £8 3 bags of soil at £4.50 for each bag some packets of seeds at £1.10 for each packet.

Iwan has a total of £30 to spend on these items. He buys as many packets of seeds as he can.

Work out how much change Iwan should receive.

£ [4]

The diagram shows the point A and the line CD on a grid.

(a)Write down the coordinates of point A.

( , )[1]

The point B has coordinates (4, –2)

(b)On the grid, mark with a cross (X) the point B. Label the point B.[1]

(c)Write down an equation of the line CD.

[1]

Here is a shape made of squares.

(a)Shade 35 of the shape.[1]

(b)Write 36120 as a fraction in its simplest form.

[1]

(c)Write these fractions in order of size. Start with the smallest fraction.

[2]

59 of a number is 14

(d)What is the number?

[2]

Cate asked the 60 members of a leisure centre how many times they had each visited the leisure centre last week.

The table gives information about her results.

(a)Write down the mode of the number of visits.

[1]

Cate is going to draw a pie chart for the information in the table.

(b)Work out the size of the angle in the pie chart for the sector representing 1 visit.

[2]

35% of the 60 members are aged 50 or over.

(c)Work out how many of the members are aged 50 or over.

[2]

(a)Simplify a × a × a × a

[1]

(b)Simplify 4b ×5c

[1]

(c)Simplify 6d + 2e + d – 5e

[2]

Sabbir has some boxes of bananas and some sacks of tomatoes. The weight of each box of bananas is the same and the weight of each sack of tomatoes is the same.

The weight of 3 boxes of bananas is 42 kg. The weight of 8 sacks of tomatoes is 68 kg.

Work out the total weight of 9 boxes of bananas and 15 sacks of tomatoes.

kg[3]

The diagram shows the isosceles triangle ABC in which AB = AC

BCD is a straight line.

Work out the value of x.

x = [3]

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

[3]

Rose and Haydn share £250 in the ratio 2 : 3

Rose gives all her share of the money to charity. Haydn gives 42% of his share of the money to charity.

Rose gives more money to charity than Haydn gives to charity.

Work out how much more.

£ [5]

A circle has diameter 18 cm.

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

cm²[2]

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {2, 4, 6, 8, 10, 12} B = {3, 6, 9, 12}

(a)Complete the Venn diagram below for the sets E, A and B.

[3]

One of the numbers in E is to be chosen at random.

(b)Find the probability that this number is not in set A and not in set B.

[2]

(a)Expand 5(3a + 4)

[1]

(b)Factorise 4c – 14

[1]

(c)Solve 5x – 11 = x + 6 Show clear algebraic working.

x = [3]

Show that 3 15 × 1 56 = 5 1315[3]

Given that a < b < c

the four whole numbers a, a, b and c have

a mode of 7 a median of 8.5 a mean of 9

Work out the value of a, the value of b and the value of c.

a =

b =

c = [4]

(a)On the number line, show the inequality –2  y < 1

[2]

n is an integer.

(b)Write down all the values of n that satisfy –3.4 < n  2

[2]

A train journey from Paris to Amsterdam took 3 hours 24 minutes. The total distance the train travelled was 433.5 km.

Work out the average speed of the train. Give your answer in kilometres per hour.

km/h[3]

The diagram shows a cuboid and a cylinder.

The dimensions of the cuboid are x cm by 12 cm by 5 cm. The volume of the cuboid is 270 cm³

The radius of the cylinder is x cm. The height of the cylinder is 2x cm.

(a)Work out the volume of the cylinder. Give your answer correct to the nearest whole number.

cm³[3]

(b)Change 1 m³ to cm³

_cm³[1]

(a)Make c the subject of A = cy – 5z

[2]

(b)Write down the value of g⁰

[1]

(c)Factorise x²– 11x + 24

[2]

Kuro invests 50 000 yen for 3 years in a savings account. She gets 2.4% per year compound interest.

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

_yen[3]

The diagram shows a regular pentagon, ABCDE, a regular hexagon, CFGHID, and a quadrilateral, EDIJ.

AEJ and HIJ are straight lines.

Work out the size of the angle marked x. Show your working clearly.

[5]

A = 2⁸ × 3⁵ × 11⁴ B = 2⁶ × 3 × 11⁸

(a)Find the highest common factor (HCF) of A and B.

[2]

(b)Find the lowest common multiple (LCM) of 2A and 3B. Give the LCM as a product of powers of its prime factors.

[2]

The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry.

Omondi is going to paint this face of the wall once. He has to buy all the paint that he needs to use.

The paint in each tin of paint Omondi is going to buy will cover 16 m² of the face of the wall.

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

[5]