Practice Paper 1 (Edexcel IGCSE Maths)

Here is a centimetre grid

On the grid, draw a right-angled triangle.

Simplify $( b^{11} )^{3}$

Simplify $5g^{-2}h^{3}\times6g^{-3}h^{7}$

Expand $x(x+3)$

Factorise $8p+10$

Barney went for 4 walks on Tuesday.

The lengths of the walks were

800 metres 2 kilometres 1.7 kilometres $x$ metres

The total length of the 4 walks was 6250 metres.

Work out the value of $x$

Simplify fully $4y+12--2y+4$

Solve $13--x=7$

Make $e$ the subject of $y = e h ‒ f$

Solve the simultaneous equations

$2x+9y=14.5\,7x+3y=8$

Show clear algebraic working.

Solve the inequality 8 x minus 4 greater-than or slanted equal to 3 x minus 10

Solve.

$x^{2}-6x+15=3x-5$

$x=$.............. or $x=$..............

Here is a 9-sided regular polygon $ABCDEFGHJ$, with centre $O$

$ODK$ and $FEK$are straight lines.

Work out the value of $x$

The diagram shows a circle and a trapezium.

The height of the trapezium is $h$ cm.

The area of the circle is equal to the area of the trapezium.

Work out the value of $h$. Give your answer correct to 1 decimal place.

Here is an accurate scale drawing showing the positions of a hotel and a museum.

Scale: 1 cm represents 4.5 km

Find, by measuring, the bearing of the hotel from the museum.

Work out the real distance between the hotel and the museum.

The diagram shows a circle and a trapezium.

The height of the trapezium is $h$ cm.

The area of the circle is equal to the area of the trapezium.

Work out the value of $h$.

Give your answer correct to 1 decimal place.

Here are six triangles drawn on a grid of squares.

Two of these triangles are congruent.

Write down the letters of these two triangles.

The diagram shows triangle $ABC$and triangle $ECD$

$ACD$ and $EBC$ are straight lines.

$AB=10\mathrm{cm}AC=8\mathrm{cm}EB=5\mathrm{cm}CD=14\mathrm{cm}ED=w\mathrm{cm}$

Work out the value of $w$ Give your answer correct to one decimal place.

Orla travelled on a flight from Oslo to Bergen.

The flight was scheduled to leave Oslo at 3.45pm but she was delayed by 25 minutes.

The flight time was 50 minutes.

What time does Orla arrive in Bergen?

A week later Orla has to return to Oslo by bus.

The journey is 13 hours and 45 minutes.

She travels 385 km.

Calculate the average speed of the bus.

............. km/h

Write down the order of rotational symmetry of the diagram.

A crate is in the shape of a cuboid with inside lengths of 120 cm, 40 cm and $h$ cm The crate has a lid.

Micah has 48 boxes. Each box is in the shape of a cube 20 cm by 20 cm by 20 cm

Micah wants to put all the boxes in the crate and shut the lid.

Work out the least possible value of $h$

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.

2 kilograms of grapes cost £6.20 500 grams of grapes and 3 kilograms of plums cost £11.60

Work out the cost of 1 kilogram of plums.

Tanja sees the same jacket in the UK, Greece and the USA.

The jacket costs £42 in the UK.

The jacket costs 47 euros in Greece.

The jacket costs $59 in the USA.

The exchange rates are

£1 = 1.13 euros

£1 = $1.38 dollars

In which of these countries is the jacket cheaper? You must show your working.