Practice Paper 1 (Edexcel IGCSE Maths)

Naoby invests £6000 for 5 years. The investment gets compound interest of x% per annum.

At the end of 5 years the investment is worth £8029.35

Work out the value of x.

$R$ is proportional to $t^{2}$ The graph shows the relationship between $R$ and $t$ for $0 \text{less} - \text{than} or \text{slanted} \text{equal} to t \text{less} - \text{than} or \text{slanted} \text{equal} to 4$

Find $a$ formula for $R$ in terms of $t$.

Given also that $R=\frac{8}{5x}$ show that $t$ is inversely proportional to $\sqrt{x}$ for $t>0$

Identical pairs of boots are sold in London, in Geneva and in Paris.

These boots have a price of

£115 in London 189 Swiss francs in Geneva 174 euros in Paris

The exchange rates are

£1 = 1.39 Swiss francs £1 = 1.27 euros

Are the boots the best value for money in London or in Geneva or in Paris? You must show how you get your answer.

Express the recurring decimal $0.2\overset{.}{8}\overset{.}{1}$ as a fraction in its simplest form.

Without using a calculator, work out $2\frac{2}{3}\times2\frac{3}{4}$.

You must show all your working and give your answer as a mixed number in its simplest form.

Write two hundred thousand and seventeen in figures.

Joshua buys a car for $12 500

He sells the car to Nina.

Nina pays

• a deposit of $1500
• followed by 36 monthly payments of $450

Work out Joshua’s percentage profit.

Work out the value of $(7.5\times10^{4})\times(2.5\times10^{3})$ Give your answer in standard form.

Find the Highest Common Factor (HCF) of 140 and 245

In a village the ratio of males to females is 2:1.

40% of the people in the village are right-handed males. 25% of the people in the village are right-handed females.

Show that the proportion of females who are right-handed is greater than the proportion of males who are right-handed.

This is a list of ingredients for making chicken soup for 4 people.

Bill is going to make chicken soup for 6 people.

Work out the amount of each ingredient he needs.

The dimensions of a rectangular floor are to the nearest 0.1 metres.

A force of 345 Newtons is applied to the floor. The force is to the nearest 5 Newtons.

Work out the upper bound of the pressure. Give your answer to 4 significant figures. You must show your working.

........................N/m² [5]

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

A = {3, 7, 11, 13}

*B *= {3, 6, 9, 12, 13}

C = {2, 3, 5, 6, 7, 8}

Complete the Venn diagram

List the members of the set *B′ *∩ C.

List the members of the set (A ∪ C)′ ∩ B.

Find n(A′∩ B′)

$a=\sqrt{8}+2$ $b=\sqrt{8}-2$ $T=a^{2}-b^{2}$

Show that $T=c\sqrt{2}$ stating the value of $c$

Use your calculator to work out $\frac{38.5\times14.2}{18.4-5.9}$

Write down all the figures on your calculator display. You must give your answer as a decimal.

Write your answer to part (a) correct to 1 significant figure.

$a$and $b$ are positive values.

Show that $\frac{7a+2b-3a}{8a+6b+2a-b}$ always simplifies to the same value.

Simplify $\frac{3}{x}+\frac{4}{x}$ Circle your answer.

$c$ is a positive integer.

Prove that $\frac{6c^{3}+30c}{3c^{2}+15}$ is an even number.

Simplify fully $\frac{p^{3}\times p^{4}}{p^{2}}$