Edexcel IGCSE Maths A Paper 2H Higher June 2018 question paper 4MA1/2H

Make a the subject of the formula M = ac – bd

Solve the inequality 5x – 4 39

Factorise fully 18e²f³ – 12e³ f

Work out the difference between the largest share and the smallest share when 3450 yen is divided in the ratios 2: 6: 7

Gopal is paid 20 000 rupees each month. Jamuna is paid 19 200 rupees each month.

Gopal and Jamuna are both given an increase in their monthly pay. After the increase, they are both paid the same amount each month.

Gopal was given an increase of 8%

Work out the percentage increase that Jamuna was given.

In the diagram below, P and Q are points on a circle with centre O.

QT is a tangent to the circle. Angle OPQ = 18

Work out the size of angle PQT. Give a reason for each stage of your working.

The diagram shows two cylinders, A and B.

Cylinder A has height 1.6 m and radius 0.56 m.

Work out the curved surface area of cylinder A. Give your answer in m² correct to 3 significant figures.

Cylinder B is mathematically similar to cylinder A. The height of cylinder B is 0.6 m.

Work out the radius of cylinder B.

The students in Class A and in Class B take the same examination.

There are 28 students in Class A and 32 students in Class B. The mean score for all the students in both classes is 72.6 The mean score for the students in Class A is 75

Work out the mean score for the students in Class B.

The lowest score in Class A is 39 The range of scores for Class A is 57 The lowest score in Class B is 33 The range of scores for Class B is 60

Find the range of scores for all the students in both classes.

Work out the value of x. Give your answer correct to 3 significant figures.

Solve the simultaneous equations

x + y = 15 7 x – 5 y = 3

Show clear algebraic working.

Find the value of n.

(13^–6)⁴ 13⁵ = 13^k

Find the value of k.

A solid metal sphere has radius 1.5 cm. The mass of the sphere is 109.6 grams.

Work out the density of the sphere. Give your answer correct to 3 significant figures.

_........ g / cm³

The diagram shows a hexagon ABCDEF. BC is parallel to ED.

Work out the size of the obtuse angle DEF.

Felix has 10 cards. There are 5 red cards, 4 blue cards and 1 green card.

Felix takes at random one of the cards. He does not replace the card. Felix then takes at random a second card.

Complete the probability tree diagram.

Work out the probability that Felix takes at least one blue card and no green card.

Complete the table of values for y = x³ – 2x² – 3x + 4

On the grid, draw the graph of y = x³ – 2x² – 3x + 4 for values of x from –2 to 3

By drawing a suitable straight line on the grid, find estimates for the solutions of the equation x³ – 2x² – x + 1 = 0 Give your solutions correct to 1 decimal place.

e = 8.31 correct to 2 decimal places f = 0.65 correct to 2 decimal places

Work out the lower bound for the value of e – f Show your working clearly.

R is proportional to t² The graph shows the relationship between R and t for 0 ≤ t 4

Find a formula for R in terms of t.

y = x³ – 2x² – 15x + 5

C is the curve with equation y = x³ – 2x² – 15x + 5

Work out the range of values of x for which C has a negative gradient.

A triangle has sides of length 8 cm, 10 cm and 14 cm.

Work out the size of the largest angle of the triangle. Give your answer correct to 1 decimal place.

The diagram shows a triangular prism.

AF = 10 cm, AB = 24 cm and BC = 8 cm. Angle FAB = angle ADC = angle BCD = 90

Work out the size of the angle between the line BE and the plane ABCD. Give your answer correct to 1 decimal place.

The histogram shows information about the birth weights of some babies.

6 of these babies had a birth weight less than 2.5 kg or greater than 4 kg.

Work out the number of babies who had a birth weight between 2.5 kg and 4 kg.

Show your working clearly.

where p and q are integers. Show your working clearly.

Show your working clearly.

A, D, B and E are points on a circle, centre O. AFBC, OEC and OFD are straight lines.

AF = 7 cm, FB = 4 cm, BC = 5 cm, FD = 2 cm and CE = x cm.

Work out the value of x. Show your working clearly.

The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms of the same series.

Find the sum of the first 30 terms of this series.