Edexcel IGCSE Maths B Paper 2 June 2024 question paper 4MB1/02R

Gary buys furniture and sells it in a shop.

In the shop on Monday, Gary has tables and chairs such that

number of tables: number of chairs = 2: 7

Gary has 42 chairs in the shop on Monday.

Calculate the number of tables Gary has in the shop on Monday.

Gary buys a table for $240 and sells it for $276

Calculate the percentage profit from the sale of the table.

Gary buys some chairs and sells them for $513

Gary’s percentage profit from the sale of the chairs is 35%

Calculate the price at which Gary bought the chairs.

The cost of a table that Gary buys is $732

An identical table costs 684 euros in France.

Using the exchange rate $1 = 0.95 euros

find the difference in the costs of the tables.

State whether your answer is in euros or $.

Figure 1 shows a hexagon ABCDEL and a regular octagon EFGHIJKL

BAL ABC CDE DEL 125°

BCD ALE ALK y°

Calculate the value of y

A different regular polygon has T sides and is such that

an interior angle (10x 25)° an exterior angle (7x 83)°

Calculate the value of T

[Sum of interior angles of polygon (2n 4) right angles]

Triangle A and triangle B are drawn on the grid opposite.

Describe fully the single transformation that maps triangle A onto triangle B

Triangle A is transformed to triangle C by a reflection in the line with equation y 1

On the grid, draw and label triangle C

Triangle A is transformed to triangle D by an enlargement with centre (0, 3) and scale factor 2

On the grid, draw and label triangle D

Triangle A is transformed to triangle E under the transformation with matrix M where

On the grid, draw and label triangle E

Turn over for a spare grid if you need to redraw your triangles.

Only use this grid if you need to redraw your triangles.

Solve the inequality 4x 3 31

Solve the inequality 1 2x 3 21

Hence represent on the number line opposite, the set of values of x for which

−2 −1 0 1 2 3 4 5 6 7 8 9 10 x

Complete the table of values for y 2x³ 5x 3

On the grid opposite, plot the points from your completed table and join them to form a smooth curve.

By drawing a suitable straight line on your grid, find estimates to one decimal place, for the solutions of the equation 2x³ 5x 3 2 in the range 2 x 2

6 80 gardeners were asked if they grow potatoes (P), carrots (C) or lettuce (L)

Of these gardeners

9 grow potatoes, carrots and lettuce

17 grow potatoes and carrots

23 grow carrots and lettuce

19 grow potatoes and lettuce

48 grow carrots

49 grow lettuce

2 grow none of these three crops

Using this information, complete the Venn diagram below to show the number of gardeners in each subset.

Find n(C Lʹ)

One of the gardeners is chosen at random.

Given that this gardener grows carrots,

find the probability that this gardener also grows lettuce.

Find 4A 2B

Find AC

Aalia delivers letters and parcels.

Last week Aalia worked for 5 days and wrote down 5 integers that represent the distance, in miles, she drove each day.

For these integers

t he mode is 15

the median is 16

the largest − the smallest = 7

Find 5 integers that Aalia could have written down.

Aalia has 8 letters to deliver to Tom.

The mean weight of the 8 letters is 104 grams.

5 of the letters are each of weight 89 grams.

The mean weight of the remaining letters is A grams.

Work out the value of A

The histogram shows information about the weights of all the parcels Aalia has in her delivery van on Friday.

75 of the parcels in the van each have a weight between 2 kg and 6 kg.

Aalia takes 2 parcels at random from the van.

Find an estimate for the probability that both parcels weigh more than 4 kg.

Figure 2 shows the points P, Q, R and T on a circle centre O

POR 160 ORT 37

Work out the size, in degrees, of PTR

Give a reason for your answer.

Work out the size, in degrees, of TPO

The sector, OPQR, is cut out from the circle in Figure 2

A hollow right circular cone is formed by joining OP and OR together as shown in

The curved surface area of the cone is cm²

Calculate the volume, in cm³ to 3 significant figures, of the cone.

f and g are two functions such that

f: x x² + 2x where x

State the value of x that must be excluded from any domain of g

Find f(3)

Find the value of x for which g(x) = 5

Find fg(24)

Find the value of x for which gf(x) = 4

Show your working clearly.

The function h is such that h: x 5x² 10x 4 where x 1

Find the inverse of h(x) in the form h¹: x ...

Solve the simultaneous equations

Show clear algebraic working.

Find an expression for w in terms of a

Give your answer in the form na + m where n and m are integers.