Edexcel IGCSE Maths B Paper 1 November 2021 question paper 4MB1/01

Write down all the letters of the above word that have

exactly one line of symmetry,

rotational symmetry of order 2

Show that

Show your working clearly.

The nth term of a sequence is 3n² + 2

Calculate the sum of the 4th term and the 5th term of the sequence.

Using ruler and compasses only and showing all your construction lines, construct the bisector of angle PQR.

Find the Highest Common Factor (HCF) of 216 and 540

You must show all your working.

A

The diagram shows ABC.

DBCE and ACF are straight lines such that

Calculate the size, in degrees, of BAC.

p, q, 17 and r are four integers such that p < q < 17 < r and r = p + 18

The median of p, q, 17 and r is 13

The mean of p, q, 17 and r is 15

Find the value of p, the value of q and the value of r.

The straight line L is drawn on the grid.

Find an equation for L.

Write 1.2 10⁻⁴ as an ordinary number.

Give your answer in standard form.

A triangle has sides of length 8 cm, 10 cm and 15 cm.

Calculate the size, in degrees to one decimal place, of the smallest angle of the triangle.

A, B, C and D are points on a circle.

EAB and EDC are straight lines.

ED = 6 cm DC = 8 cm EA = 7.5 cm AB = xcm

Calculate the value of x.

For all values of x,

where a, b and c are integers.

Find the value of a, the value of b and the value of c.

Simplify fully (2a⁵b³)⁴

In the diagram, ACD is a triangle with point B on AC and point E on AD such that EB is parallel to DC.

AB = 8.5 cm AE = 8.0 cm ED = 3.2 cm DC = 12.6 cm

Calculate the length of EB.

Calculate the length of AC.

find the value of p and the value of q.

Solve the simultaneous equations

3 x + 2 y = −1

4 x − 3 y = −5.3

Show clear algebraic working.

The diagram shows the right angled triangle ABC where ABC is 90° and AC = 9 cm. The point D lies on AB such that BD = 3 cm and BCD = 23°

Calculate the size, in degrees to one decimal place, of ACD.

Given that a = −5

Solid A and solid B are similar.

The table gives information about the surface areas and the volumes of A and B.

Calculate the value of x.

Ameer drove from his home to a business meeting.

The distance that Ameer drove was 210 km, to the nearest 10 km.

The time that he took was 3 hours 25 minutes, to the nearest 5 minutes.

Calculate the upper bound, in km / h to one decimal place, of Ameer’s average speed as he drove from his home to the business meeting.

Show clear algebraic working.

Garcia makes bags from fabric.

Garcia buys a length of fabric that is 40 metres long.

The cost of the fabric is $5 per metre and he uses all the fabric to make bags. Each bag that he makes uses a length of 80 cm of the fabric.

Garcia sells of the bags he made for $14 each bag.

He then reduces the selling price of each bag by 15% and sells the rest of the bags he made.

Calculate the percentage profit that Garcia makes by selling all the bags he made.

Neeta is going to play one game of chess and one game of snooker.

The probability that she will win the game of chess is 0.35

The probability that she will win the game of snooker is 0.48

The two events are independent.

Complete the probability tree diagram.

Find the probability that Neeta will win only one of the games.

The diagram shows a shaded region, S, formed by removing a regular hexagon from a circle.

The centre of the circle is the point O.

The hexagon has centre O and sides of length 8 cm.

Given that

area of the hexagon = area of S

calculate the radius, in cm to one decimal place, of the circle.

A bag contains n beads.

There are 4 orange beads in the bag.

The rest of the beads are purple.

Donald is going to take at random 2 beads from the bag.

The probability that both beads will be the same colour is

Find the value of n.

Show clear algebraic working.