Forming & Solving Equations (Edexcel IGCSE Maths): Exam Questions

Carla wraps some parcels with ribbon. She wraps 2 large parcels and 3 small parcels.

For each large parcel, Carla uses 185 centimetres of ribbon. For each small parcel, she uses $p$ centimetres of ribbon.

In total, Carla uses exactly 7 metres of ribbon to wrap the parcels.

Find the value of $p$

There are 8 slices of cheese in each small pack of cheese. There are 20 slices of cheese in each large pack of cheese.

Afreen buys $h$ small packs of cheese and $j$ large packs of cheese. She buys a total of $T$ slices of cheese.

Write down a formula for $T$ in terms of $h$ and $j$

$ABCD$ is a trapezium.

$BC$ is parallel to $AD$

Find the size of the largest angle inside the trapezium.

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.

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 $x$

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 $x$

The diagram below shows a triangle $PRQ$ and straight line $PQS$. The diagram is not drawn to scale.

• Angle $P R Q = ( 8 x + 2 )^{\circ}$
• Angle $Q P R = ( 11 x + 10 )^{\circ}$
• Angle $R Q S = ( 15 x + 32 )^{\circ}$

Find the value of $x$