Practice Paper 2 (Edexcel IGCSE Maths)

Simplify $h^{15}\div h^{3}$

Simplify fully $( 2 g^{3} k^{5} )^{4}$

Given that $\frac{y^{5}\times y^{n}}{y^{7}}=y^{12}$

work out the value of $n$

Factorise $8p+10$

Simplify $9d\times5c$

Simplify $7p+5n-9p+3n$

$T=8e-6f$

Work out the value of $T$ when $e=9$ and $f=5$

On the grid, draw the graph of $y=1--3x$ for values of $x$ from –2 to 3

Solve $x^{2}-x-12=0$

There are 8 counters in a bag.

6 of these counters are orange. The rest of the counters are purple.

Delilah takes at random a counter from the bag.

(i) On the probability scale below, mark with a cross (×) the probability that the counter is orange.

(ii) On the probability scale below, mark with a cross (×) the probability that the counter is yellow.

A and B are two events.

Some probabilities are shown on the Venn diagram.

Work out $P(A'UB)$

Change 720 dollars to euros.

Change 2580 yuan to euros.

Write $\frac{3}{100}$ as a decimal.

Write $\frac{7}{50}$ as a percentage.

The table shows the lowest temperature for the month in each of six months for Winnipeg in Canada.

Which of these six months has the lowest temperature?

Work out the difference between the lowest temperature in August and the lowest temperature in November.

The lowest temperature in March was 23°C lower than the lowest temperature in August.

Work out the lowest temperature in March.

Write the number 78263 correct to the nearest 100

Here is a Venn diagram.

List the members of the set $A$

List the members of the set $A\cap B$

List the members of the set $\left(A \cup B\right) '$

Work out the value of $\frac{9}{12.4}+\frac{5.3\times2.8}{9.64}$

Give your answer as a decimal. Write down all the figures on your calculator display

Write your answer to part (a) correct to 3 significant figures.

The diagram shows two triangles $ABE$ and $ECD$

Triangle $ABE$ is isosceles with $AE=EB$ $ADE$ and $EBC$ are straight lines.

Angle $CDE=42^{\circ}$ The reflex angle $ECD=296^{\circ}$ Angle $BAE=x^{\circ}$

Work out the value of $x$

The width of a rectangle is 8 cm less than the length of the rectangle. The perimeter of the rectangle is 54 cm.

Find the area of the rectangle.

The diagram shows a shaded shape made from three identical semicircle, $X$, $Y$ and $Z$

$ABCDE$ is a straight line.

$AC$ is the diameter of semicircle $X$and $B$ is the centre of semicircle $X$ $BD$ is the diameter of semicircle $Y$ and $C$is the centre of semicircle $Y$ $CE$ is the diameter of semicircle $Z$ and $D$ is the centre of semicircle $Z$

$AC=BD=CE=20\mathrm{cm}$

Work out the perimeter of the shaded shape. Give your answer correct to the nearest whole number.

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.

Write 4.15 pm as a time using the 24-hour clock.

On Thursday, Belina drives to Theo’s house.

She leaves home at 09 15 She arrives at Theo’s house at 1440

Work out how long the journey takes. Give your answer in hours and minutes.

Write down the mathematical name of this polygon.

Simplify $( 2 c^{4} d^{7} )^{3}$

Find the value of $5y^{0}$ where $y>0$

The diagram shows three points, $A,B$ and $C$, marked on a grid.

Write down the coordinates of point $A$

Write down the coordinates of point $B$

$M$ is the midpoint of the line $AC$

On the grid, mark with a cross (×) the point $M$ Label the point $M$

Expand $x ( 3 - x )$

Factorise fully $12pq-18p$

$T=3c+7d$

Work out the value of $T$ when $c=9$ and $d=--2$

$P=3a^{2}+g^{3}$

Work out the value of $P$ when $a=--4$ and $g=2$

Solve $2x--3=18$

On the grid below, draw the graph of $y=5-3x$ for values of $x$ from − 2 to 3

(i) Factorise $x^{2}+9x--22$

(ii) Hence solve $x^{2}+9x--22=0$

A biased spinner has three sections each of a different colour.

The table shows the probability that, when the spinner is spun once, it will land on blue or on orange or on white.

Work out the value of $x$

The spinner is spun 250 times.

Work out an estimate for the number of times the spinner will land on blue.