Practice Paper 1 (Edexcel IGCSE Maths)

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.

Work out the output when the input is 14

Here is a different number machine

When the input is 11 the output is 64

Write a number on the dotted line to complete the number machine.

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 $t$ the subject of $s=\frac{1}{2}at^{2}$

Here are the first five terms of a number sequence.

7 11 15 19 23

Find an expression, in terms of $n$, for the $n$th term of this sequence.

The $n$th term of a different number sequence is given by $80--2n$

Write down the first 3 terms of this sequence

Yuen says there are no numbers that are in both of the sequences. Yuen is correct.

Explain why.

Solve the simultaneous equations

$\begin{gathered} 6 x + 4 y & = 19 \\ 5 x + y & = 3 \end{gathered}$

Show clear algebraic working

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

The table shows information about the lengths, in minutes, of 50 telephone calls.

Write down the modal class.

Work out an estimate for the total length, in minutes, of these telephone calls.

Peter owns boarding kennels for dogs.

The pictogram shows information about the number of dogs that were at the kennels each day from Monday to Thursday last week.

How many dogs were at the kennels on Monday?

18 dogs were at the kennels on Friday.

Show this information on the pictogram.

Peter gave each dog 2 biscuits each day.

Work out the total number of biscuits that Peter gave the dogs during the five days from Monday to Friday last week.

Aayush invests 18 000 rupees for 3 years at a rate of 4% per year compound interest.

Work out the total amount of interest Aayush has received by the end of 3 years. Give your answer correct to the nearest rupee.

Pablo buys some tickets to go to the theatre.

3 of the tickets are for adults. The remaining tickets are for children.

Each adult ticket costs 12 euros. The children’s tickets each cost 30% less than an adult ticket.

The total amount of money that Pablo pays for all the tickets is 94.80 euros.

Find the number of children’s tickets Pablo buys.

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.

3 kg of carrots and 5 kg of potatoes cost a total of 207 rand. 2 kg of the carrots cost 48 rand.

Work out the cost of 1 kg of potatoes.

Write 76 000 000 in standard form.

Write 5.4 × 10^–4 as an ordinary number.

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

$ODK$ and $FEK$are straight lines.

Work out the value of $x$

Measure the length of the line $AB$ Give your answer in centimetres.

$A$ and $C$ are points on a circle, centre $O$ $DA$ is the tangent to the circle at $A$ and $DC$ is the tangent to the circle at $C$

Angle $ADC$ = 48°

Work out the size of reflex angle $AOC$

In triangle $ABC$

$AB$= 3 cm and angle $CAB$= 45°

Triangle $ABC$ is enlarged by scale factor 5

For the enlarged triangle, write down

(i) the length of the side that corresponds to $AB$

(ii) the size of the angle that corresponds to angle $CAB$

Complete the statement.

Angle ...................... is a reflex angle.

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

Given that triangle A has been translated to give triangle B, work out the value of $d$, the value of $e$ and the value of $f$

The diagram shows shape P and shape Q drawn on a grid.

Describe fully the single transformation that maps shape P onto shape Q

On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R