Practice Paper 1 (Edexcel IGCSE Maths)

(i) How many vertices has a cuboid?

(ii) How many edges has a cuboid?

Simplify $( t^{5} )^{3}$

Simplify $3e^{7}f\times4e^{2}f$

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

Write down the coordinates of point $A$

On the grid, mark with a cross (×) the point $D$ so that $ABCD$ is a rectangle.

Find the coordinates of the midpoint of $AC$

On the grid, draw the line with equation $y=4$

Expand and simplify $(m+9)(m--5)$

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

Complete the table of values for $y=x^{2}-x-4$

On the grid below, draw the graph of $y=x^{2}-x-4$ for values of $x$ from -3 to 3

Work out the value of $x^{2}+5y$ when $x=--3$ and $y=2$

Solve $5m-6=17$

A straight line passes through the points with coordinates (0, –3) and (2, 0) Find an equation of the line.

Solve.

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

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

The graph below can be used to change between Australian dollars and euros

Use the graph to change

(i) 35 Australian dollars to euros

(ii) 20 euros to Australian dollars

Lachlan changes 500 Australian dollars to euros.

Work out how many euros he should receive.

A biased spinner can land on green or on yellow or on brown or on pink.

The table gives the probabilities that, when the spinner is spun, it will land on green or on yellow or on brown.

Timucin spins the spinner 200 times.

Work out an estimate for the number of times the spinner lands on pink.

In a survey, 60 students were asked whether they have a bank account (B) and whether they have a part-time job (J).

The number of students who had neither a bank account nor a part-time job was x.

The Venn diagram shows the results in terms of x.

One of the 60 students is chosen at random. Find the probability that they have a bank account. Show your working.

Yuan sells fudge in small bags and in large bags.

Work out which bag is the better value for money. Show your working clearly

The diagram shows three identical rectangles.

$\frac{5}{8}$of rectangle A is shaded.

80% of rectangle C is shaded.

What fraction of rectangle B is shaded?

Rolando bought

• a magazine for 3.20 euros
• a bunch of flowers for 4.25 euros
• and 2 bars of chocolate.

Rolando paid with a 20 euro note. He received 7.25 euros change.

The cost of each bar of chocolate was the same.

Work out the cost of 1 bar of chocolate.

Find the square root of 441

Write the number 1997 correct to the nearest thousand.

$\mathcal{E} = \left\{1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12\right\}$ $A = \left\{1 , 2 , 3 , 4 , 6 , 12\right\}$ $B = \left\{2 , 3 , 5 , 7 , 11\right\}$

Complete the Venn diagram to show this information.

List the members of the set

(i) $A\cap B$

(ii) $B'$

Work out the value of $\frac{5.2^{2}+8.7}{\sqrt{14.5}}$

Write down all the figures on your calculator display.

$ABC$ is parallel to $DEFG$ $BC=BF$ Angle $ABE=39^{\circ}$ Angle $CFG=63^{\circ}$

Work out the size of angle $x$. Give a reason for each stage in your working.