IGCSE Mathematics (0580) — October–November 2023, Paper 33

Tom has a restaurant bill: Soup $..., Pasta $13.30, Ice cream $4.80, Drinks $3.81, Total cost $25.40. Complete the bill to show the cost of soup.

The scale drawing shows the positions of Bayside (B) and Millwater (M). The scale is 1 centimetre represents 2 kilometres. Find the actual distance between Bayside and Millwater.

Aneel has 80 tea bags, 1/2 kg of sugar and 1 litre of milk. To make a cup of tea he uses 1 tea bag, 8 grams of sugar, 40 millilitres of milk. In the morning, Aneel makes 15 cups…

A company makes glass using silica, soda, lime and magnesia. The table gives information about the proportions used. Percentage of total mass Pie chart sector angle --- --- ---…

Zena records the number of letters she posts on each of 12 days: 3, 7, 3, 8, 7, 1, 0, 6, 5, 1, 7, 2. Write down the mode.

In the diagram, PST is a straight line. Angle QPS = 114°, angle PSR = 114°, angle QRS = y° and angle PQR = 3y°. NOT TO SCALE. Give the geometrical reason why the lines PQ and SR…

These are the first four diagrams in a sequence, made using dots and lines. Complete the table. Diagram 1 2 3 4 --- --- --- --- --- Number of small squares 2 4 6 Number of dots 6…

Expand and simplify. 4(x + 3) + 2(x − 1)

The diagram shows a semicircle with diameter AB. O is the midpoint of AB and C is a point on the circumference. AC = 9.6 cm and BC = 18 cm. NOT TO SCALE. Calculate the area of…

The sketch shows the graph of y = x² − 2x − 3. The graph crosses the x-axis at (−1, 0) and (3, 0). NOT TO SCALE. Find the equation of the line of symmetry of the graph.