Practice Paper 1 (Edexcel IGCSE Maths)

The diagram shows the prism $ABCDEFGHJK$ with horizontal base $AEFG$

$ABCDE$ is a cross section of the prism where

$ABDE$ is a square $BCD$ is an equilateral triangle

$EF=2\times AE$
$M$is the midpoint of $GF$ so that $JM$ is vertical.

Angle $MAJ=y^{\circ}$ Given that $\mathrm{tan}y^{\circ}=T$ find the value of$T$, giving your answer in the form $\frac{\sqrt{p}+\sqrt{q}}{17}$ where $p$ and $q$ are integers.

$T$ = ...........................

$h=3t^{2}$

Work out the value of $h$ when $t=5$

$h=3t^{2}$

Work out the value of $t$ when $h=108$

Make $a$ the subject of the formula

$v=u+at$

Solve $\frac{5}{4x+1}=\frac{2x}{x^{2}+3}$

Give your solutions to 3 significant figures.

You must show your working.

Simplify $(3x^{2}y)^{0}$

Express $7-12x-2x^{2}$ in the form $a + b ( x + c )^{2}$ where $a$ , $b$ and $c$ are integers.

Expand and simplify $( y + 2 ) ( y + 5 )$

Factorise fully $6y^{2}+15y$

Solve $\frac{11-w}{4}=1+w$

Alison is using the quadratic formula to solve a quadratic equation.

She substitutes values into the formula and correctly gets.

$x=\frac{-7\pm\sqrt{49-32}}{4}$

Work out the quadratic equation that Alison is solving.

Give your answer in the form $ax^{2}+bx+c=0$, where $a,b$ and $c$ are integers.

A rectangle $ABCD$ is to be drawn on a centimetre grid such that

$A$ has coordinates (–4, –2) $B$ has coordinates (1, 10) $C$ has coordinates (19, $a$) $D$ has coordinates $(b,c)$

Work out the value of $a$, the value of $b$ and the value of $c$.

$a=.................................\,b=.................................\,c=.................................$

Calculate the perimeter, in centimetres, of rectangle ABCD.

...................................................... cm

The diagram shows part of a sketch of the curve $y=\mathrm{sin}x^{\circ}.$

Write down the coordinates of the point $P$.

Write down the coordinates of the point $Q$.

$A$ is the point with coordinates $( - 5 , 12 )$ $B$ is the point with coordinates $( 19 , - 48 )$ Find an equation of the straight line that passes through the points $A$ and $B$

Chris visits a library.

He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home.

The sketch graph represents his visit.

Work out the speed, in miles per hour, at which Chris cycles home.

..........................mph

You can use this conversion graph to change between pounds (£) and dollars ($).

Use the conversion graph to change £5 to dollars.

Ella has $200 and £800 Her hotel bill is $600

Ella pays the bill with the $200 and some of the pounds.

Use the conversion graph to work out how many pounds she has left.

$x=0.0\overset{.}{4}\overset{.}{5}$

Prove algebraically that $x$ can be written as $\frac{1}{22}$

Show that $2\frac{1}{4}\times3\frac{1}{3}=7\frac{1}{2}$

Write the numbers 3, 4, 5 and 6 in the boxes to give the greatest possible total.

You may write each number only once.

From the list of numbers, write down

i) a multiple of 7,

ii) a cube number,

iii) a prime number.