IGCSE Mathematics 0580 Paper 33, Oct/Nov 2025

Write down the mathematical name of the line $AB$.

On the diagram, draw a radius.

Write 0.25 as a fraction.

Write $\frac{1}{2}$ as a percentage.

Write $7\mathrm{\%}$ as a decimal.

Write down the mathematical name of this solid.

Write down the mathematical name of this type of triangle.

Write down the colour the spinner is least likely to land on.

Find the probability that the spinner lands on white.

Find the probability that the spinner does not land on red.

Write down the reciprocal of 8.

Work out ${19}^3$.

Jason records his score in each of 10 games of cricket. 16 7 21 8 20 9 11 7 14 3 Find the mode.

Work out the range.

Ed plays 5 games. His mean score is 28. After one more game his mean score is now 26. Work out his score in the sixth game.

Simplify. $$5b-8c+2b-3c$$

$$q=3r+5t$$ Find the value of $t$ when $q=37$ and $r=4$.

Calculate the value of $x$.

The triangle is one face of a square-based pyramid. Each triangular face of the pyramid is the same. On the $1{\text{ cm}}^2$ grid, draw a net of this pyramid.

$$\sqrt{\frac{{8.4}^2+9.3}{26.5}}$$

$$4^{-3}$$

Describe fully the single transformation that maps shape $A$ onto shape $B$.

On the grid, draw the image of shape $A$ after a reflection in the line $y=0$.

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

On the grid, draw the graph of $y=x^2-4$ for $-4⩽x⩽4$.

Jo buys a candle for $\mathrm{\$}3.20$. She sells the candle for $\mathrm{\$}4.64$. Find the percentage profit on the candle.

The candle is in the shape of a cone. The volume of the candle is $900{\text{ cm}}^3$. The height of the candle is $8\text{ cm}$. Calculate the radius of the candle.

The diagram shows two similar triangles, $A$ and $B$. Calculate the value of $x$.

The diagram shows a right-angled triangle. Calculate the value of $y$.