4MA1 Mathematics A: Oct/Nov 2020 Paper 1FRFoundation Tier Paper 1

Here is a shape made of squares.

(a)Shade 16 of the shape.[1]

(b)Change 195 into a mixed number.

[1]

711 of a class walk to school.

(c)What fraction of the class do not walk to school?

[1]

(d)Write down a fraction that is equivalent to 79

[1]

(e)Write 0.03 as a fraction.

[1]

The pictogram gives information about the number of eggs laid by Ellie’s chickens in April, in May and in June.

(a)How many eggs were laid by Ellie’s chickens in April?

[1]

Ellie’s chickens laid more eggs in June than in May.

(b)How many more?

[2]

Ellie’s chickens laid 52 eggs in July.

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

The diagram shows five shaded shapes on a grid of squares.

Two of the shapes are congruent.

(a)Write down the letters of these shapes.

_and [1]

(b)On the square grid below, draw a shape that is similar to but is not congruent to shape B.[2]

All of the shapes on the grid have 6 sides.

(c)Write down the mathematical name for a shape that has 6 sides.

[1]

There are 12 beads in a bag.

6 of the beads are green 4 of the beads are blue 2 of the beads are pink

Peter takes at random a bead from the bag.

(a)Circle the word in the list below that best describes the likelihood that the bead is green.

[1]

(b)On the probability scale, mark with a cross (X) the probability that the bead is orange.

[1]

(c)On the probability scale, mark with a cross (X) the probability that the bead is blue.

[1]

(d)On the probability scale, mark with a cross (X) the probability that the bead is green or pink.

[1]

(a)Simplify w + w + w + w – w

[1]

(b)Simplify 4 × a × 2

[1]

(c)Simplify f × f × f × f × f

[1]

(d)Simplify 4c + 4h + 5c – 6h

[2]

(e)Factorise 10d + 15

[1]

(f)Make t the subject of e = 7t + g

[2]

Candles cost £3.05 each. Theo has £30 to spend on candles. He buys as many candles as he can for £30

Work out how much change Theo should get.

£ [3]

The diagram shows four parcels. The total weight of the four parcels is 8.3 kg.

The weight of the parcel labelled B is 3.2 kg. Each of the three parcels labelled A have the same weight.

(a)Work out the weight of each of the parcels labelled A.

_kg[2]

Here are another three parcels.

The total weight of the three parcels is 9.45 kg.

Each of the two parcels labelled D have the same weight.

The weight of each parcel labelled D is 3× the weight of the parcel labelled C.

(b)Work out the weight of the parcel labelled C.

_kg[2]

There are 150 people at an international conference. These 150 people were each asked to say what their main method of transport was to get to the conference. The two‑way table shows some information about these people and their answers.

(a)Complete the two‑way table.[3]

One of the men from these 150 people is selected at random.

(b)Write down the probability that this man’s main method of transport was train.

[1]

A box is to be filled with cartons.

Each carton is a cube that measures 4 cm by 4 cm by 4 cm. The box is a cuboid that measures 60 cm by 48 cm by 40 cm.

Work out the number of cartons that can completely fill the box.

[3]

The diagram shows a square and an isosceles triangle.

The square has sides of length 6 cm. The base of the isosceles triangle is 6 cm.

The perimeter of the square is equal to the perimeter of the isosceles triangle.

The shaded shape is made by putting three of the isosceles triangles around the square as shown in the diagram below.

Work out the perimeter of the shaded shape. Show your working clearly.

_cm[4]

On the grid, draw the graph of y = 3x – 2 for values of x from –1 to 4

[3]

E = {whole numbers from 1 to 15}

A = {even numbers}

B = {3, 6, 9, 12, 15}

Complete the Venn diagram for the setsE, A and B.

[3]

Find which is larger

You must show all your working.

[3]

Find the lowest common multiple (LCM) of 20 and 35

[2]

The diagram shows a circle, centre O, with radius 15 cm.

Work out the area of the circle. Give your answer in cm² correct to the nearest whole number.

_cm²[2]

The graph below can be used to change between euros and dirham.

(a)Use the graph to change 200 dirham to euros.

_euros[1]

The price of a jacket is 90 euros in France and 400 dirham in the United Arab Emirates.

(b)In which of these countries is the jacket cheaper? You must show your working.

[2]

Show that 3 34 × 79 = 2 1112[3]

Using ruler and compasses only, construct the bisector of angle ABC. You must show all your construction lines.

[2]

(a)Simplify h⁷× h²

[1]

G = c²– 4c

(b)Find the value of G when c = –5

G = [2]

(c)Solve 5x − 34 = 2x + 3

Show clear algebraic working.

x = [3]

The table gives information about the length of time, in minutes, that each of 60 students took to travel to school on Monday.

Work out an estimate for the mean length of time taken by these 60 students to travel to school on Monday. Give your answer correct to one decimal place.

_minutes[4]

In 2017, the population of a village was 7500 In 2019, the population of the village was 8265

(a)Work out the percentage increase in the population of the village from 2017 to 2019

%[3]

In a sale, normal prices are reduced by 30% The sale price of a T‑shirt was 31.50 euros.

(b)Work out the normal price of the T‑shirt.

_euros[3]

Point A has coordinates (–3, 11) Point B has coordinates (47, b) The midpoint of AB has coordinates (a, –19)

Find the value of a and the value of b.

a =

b = [2]

Pedro drove from Toulouse to Montpellier in 2 hours 42 minutes. He drove at an average speed of 90 km/hour.

Janine drove from Toulouse to Montpellier along the same route as Pedro. The journey took her 3 hours.

Work out Janine’s average speed for the journey.

_km/hour[4]

Harold bought an antique clock for £1200 The clock increased in value by 8% per year.

Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.

£ [3]

A box is put on a horizontal table.

The face of the box in contact with the table is a square of side 1.5 metres. The pressure on the table due to the box is 34.8 newtons/m²

Work out the force exerted by the box on the table. pressure =

_newtons[3]

Alex makes 80 cakes to sell. He makes chocolate cakes, lemon cakes and fruit cakes where

all of the chocolate cakes

34 of the lemon cakes

78 of the fruit cakes

The profit he makes on each cake he sells is shown in the table.

Work out the total profit that Alex makes from the cakes he sells.

£ [5]

The diagram shows a regular octagon ABCDEFGH.

Work out the size of angle HAC.

[3]