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

The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015

(a)Write down the name of the country that produced the least number of barrels of crude oil.

[1]

(b)Work out the difference between the number of barrels of crude oil produced by Vietnam and the number of barrels of crude oil produced by Australia.

barrels[1]

Thailand produced 248 200 barrels of crude oil.

(c)Write 248 200 correct to the nearest thousand.

[1]

The pictogram shows information about the number of books sold in a shop each day from Monday to Thursday last week.

(a)How many books were sold on Wednesday last week?

[1]

35 books were sold in the shop on Friday last week.

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

Last week

some books were sold in the shop on Saturday no books were sold in the shop on Sunday a total of 500 books were sold in the shop.

(c)Work out the number of books that were sold in the shop on Saturday last week.

[3]

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

[1]

Here is a solid cuboid.

(b)(i)How many faces has the cuboid?

(ii)How many vertices has the cuboid?

[2]

(c)Work out the volume of the cuboid.

_cm³[2]

Here is a polygon with five sides.

(a)Write down the mathematical name of a polygon with five sides.

[1]

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

[1]

Two sides of the polygon are parallel.

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

Here are two triangles.

(d)Are triangle A and triangle B similar triangles? You must give a reason for your answer.

[1]

Matt buys a notebook and some pencils.

The notebook costs $2.35 Each pencil costs $0.74

Matt has a total of $20 to spend on the notebook and the pencils. He buys the greatest number of pencils that he can.

Work out how many pencils he buys.

[3]

(a)Write 2440 as a fraction in its simplest form.

[2]

(b)Write 15 as a decimal.

[1]

There are only blue bricks and white bricks in a box. The ratio of the number of blue bricks to the number of white bricks is 3 : 7

(c)What fraction of the bricks in the box are blue bricks?

[1]

(d)Show that 38 + 124 = 512[2]

There are 280 counters in a bag. 1

The rest of the counters are green.

(e)Work out the number of green counters in the bag.

[3]

(a)Simplify 5c × d

[1]

(b)Solve x + 5 = 12

x = [1]

(c)Solve 9y = 36

y = [1]

(d)Simplify 8k + 5m – 2k + 6m

[2]

(e)Expand 4(3g + 1)

[1]

Pavel asked 60 people at an airport where they came from. All of the 60 people came from Europe or Africa or Asia.

9 people came from Africa. 14 females came from Europe. 3 males came from Africa. 16 of the 29 males came from Asia.

Using this information, complete the two-way table.

[4]

c = 4 d = 7

(a)Work out the value of 3c + 2d

[2]

p = −6 m = −2

(b)Work out the value of 2p²+ 3m

[2]

There are 6 eggs in a small box of eggs. There are 12 eggs in a large box of eggs.

Alex buys g small boxes of eggs and h large boxes of eggs. He buys a total of T eggs.

(c)Write down a formula for T in terms of g and h.

[3]

(a)Use your calculator to work out the value of 67 .8 + 4.656

Write down all the figures on your calculator display.

[2]

(b)Give your answer to part (a) correct to 2 significant figures.

[1]

A circle has radius 18 cm.

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

_cm[2]

Gavin bought 3 pairs of jeans in the USA. He paid a total of $72

Gavin sold the 3 pairs of jeans in England. He sold each pair of jeans for £34.50

£1 = $1.34

Work out Gavin’s percentage profit. Give your answer correct to the nearest whole number.

%[4]

(a)On the grid, reflect the shaded triangle in the line with equation y = 2[2]

(b)Describe fully the single transformation that maps triangle A onto triangle B.[3]

The numbers from 1 to 14 are shown in the Venn diagram.

(a)List the members of the set A ∩ B

[1]

(b)List the members of the set Bʹ

[1]

A number is picked at random from the numbers in the Venn diagram.

(c)Find the probability that this number is in set A but is not in set B.

[2]

Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds.

For the toy cars made each day, the probability of a toy car being faulty is 0.002

Work out an estimate of the number of faulty toy cars that are made each day.

[4]

On the grid, draw the graph of y = 7 – 4x for values of x from −2 to 3

[3]

Here is a list of six numbers written in order of size.

a median of 9 a mean of 11

Find the value of x and the value of y.

x =

y = [4]

(a)Write 5.7 × 10^–3 as an ordinary number.

[1]

(b)Write 800 000 in standard form.

[1]

(c)Work out 3 × 106 × 10₋₂

[2]

A rocket travelled 100 km at an average speed of 28 440 km/h.

Work out how long it took the rocket to travel the 100 km. Give your answer in seconds, correct to the nearest second.

_seconds[3]

(a)Solve 5(4 – x) = 7 – 3x Show clear algebraic working.

x = [3]

(b)Factorise fully 16m³ g³+ 24m² g⁵

[2]

(c)(i)Factorise y²– 2y – 48

[2]

(ii)Hence, solve y²– 2y – 48 = 0

[1]

Here is a 10-sided polygon.

Work out the value of x.

x = [4]

In a sale, normal prices are reduced by 20%

A bag costs 1080 rupees in the sale.

Work out the normal price of the bag.

_rupees[3]

A = 2 × 3⁴³ B = 16 × 3³⁷

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

[1]

(b)Express the number A × B as a product of powers of its prime factors. Give your answer in its simplest form.

[2]