Practice Paper 2 (Edexcel IGCSE Maths)

The diagram shows a hexagon $ABCDEF$

$AB=25\mathrm{cm}BC=(x+2)\mathrm{cm}CD=8\mathrm{cm}EF=7\mathrm{cm}AF=(x+6)\mathrm{cm}$

The area of hexagon $ABCDEF$ is 258 cm²

Work out the value of $x$

Here is a number machine.

Work out the output when the input is 15

Work out the input when the output is 124

The input is $p$. The output is $T$

Write down a formula for $T$ in terms of $p$.

The region R, shown shaded in the diagram, is bounded by three straight lines.

Find the inequalities that define R

Ivor asks 20 children in his class to name their favourite fruit. Here are his results.

Complete the frequency table to show this information

Complete the bar chart for the information in your table.

Write 300 as a product of its prime factors. Show your working clearly.

$A=2\times2\times2\times3\times3\times5$

$B=2\times2\times3\times3\times3\times5$

Find the lowest common multiple (LCM) of $5A$ and $7B$ Show your working clearly.

Avril bakes a cake.

She uses flour, butter and sugar such that

weight of flour : weight of butter = 6 : 5 weight of butter : weight of sugar = 3 : 2

Avril uses 120 grams of sugar.

Work out the weight of flour Avril uses

The table shows the population, correct to two significant figures, of each of six countries in April 2016.

Write 9.3×10⁷ as an ordinary number.

Which of these countries had the least population?

The population of China was 1.382×10⁹ in April 2016. The population of India was 1.327×10⁹ in April 2016.

Work out the difference between the population of China and the population of India in April 2016. Give your answer in standard form.

The diagram shows two congruent regular pentagons drawn inside a regular octagon.

One side of each pentagon lies along a side of the octagon.

$AB$ is a side of the octagon. $AC$ is a side of one of the pentagons. $BC$ is a side of the other pentagon.

Work out the size of angle $y$. Show your working clearly

Here is a sketch of triangle $ABC$

$AC=8\mathrm{cm}BC=6.5\mathrm{cm} \mathrm{angle}ACB=38^{\circ}$

In the space below, make an accurate drawing of triangle $ABC$ The line $AC$ has been drawn for you.

$A$ and $C$ are points on a circle, centre $O$. $AB$ and $CB$are tangents to the circle. Angle $ABC$ = 52°

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

The diagram shows a cuboid.

The volume of the cuboid is 231cm³

Calculate the value of $w$

There are 56 metal bars in a box. Each metal bar is gold or silver or zinc

• $y$ metal bars are gold.
• $(3y+7)$ metal bars are silver.
• $(2y-5)$ metal bars are zinc.

Work out the number of metal bars that are zinc. Show clear algebraic working.

Here is a number machine.

When the input is 7 the output is 60

Work out the value of $y$

Here is a different number machine.

The input is $x$

Write down an expression, in terms of $x$, for the output.

The region R, shown shaded in the diagram, is bounded by three straight lines.

Write down the three inequalities that define the region R

Make $e$ the subject of $y = e h ‒ f$

Here is a sequence of patterns made from sticks.

In the space below, draw Pattern number 4.

Complete the table.

Work out the number of sticks in Pattern number 10

Connor says that in Pattern number 25 there are 102 sticks.

Explain why Connor is wrong.

Janya thinks of a whole number. She calls her whole number $w$ Janya writes down this information about her whole number.

w greater than 7 and w less-than or slanted equal to 10

Write down the possible values of $w$

Ian plays 7 games of cricket. His mean score per game for these 7 games is 42 runs.

Ian is going to play one more game of cricket. He wants his mean score per game for the 8 games to be exactly 50 runs.

How many runs must he score in his 8th game?

The pictogram gives information about the number of parcels a company posted on each of four days last week.

How many parcels were posted on Tuesday?

24 parcels were posted on Friday.

Show this information on the pictogram.

More parcels were posted on Wednesday than on Monday.

How many more?

Find the ratio

number of parcels posted on Monday : number of parcels posted on Thursday

Give your answer in its simplest form.

Hermione buys a boat for $26800 The value of the boat depreciates by 8% each year

Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest dollar.

Lijuan’s salary is 180000 Hong Kong Dollars (HK$). She gets a salary increase of 3%

Work out Lijuan’s salary after this increase.

In a sale, all normal prices are reduced by 15% The sale price of a camera is HK$6630

Work out the normal price of the camera.

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

A machine has a buzzer that sounds every 50 minutes. The machine also has a bell that sounds every 80 minutes.

The buzzer and the bell sound together at 10 am.

Find the time at which they next sound together.