IGCSE Mathematics - International (0607) — October–November 2024, Paper 43

The table shows the heights of 100 sunflower plants. Height (h cm) 90 < h ⩽ 110 110 < h ⩽ 120 120 < h ⩽ 130 130 < h ⩽ 150 150 < h ⩽ 170 170 < h ⩽ 200 --- --- --- --- --- --- ---…

Work out 24% of $15.50.

AC is a straight line. B is the mid-point of AC. A is the point (−1, 11) and B is the point (3, 8). Find the length of AB.

f(x) = x³ − 4x + 2, g(x) = 3/x + x² On the diagram, sketch the graph of y = f(x) for values of x between −3 and 3.

Describe fully the single transformation that is the inverse of an enlargement with scale factor 3 and centre (2, 1).

f(x) = 5x − 1, g(x) = x² + x, h(x) = (x − 1)³ The domain for all three functions is x 2. Find f(3).

Find the next term and the nth term. 19 16 11 4

The amount charged for electricity in one month is $E. $E is the sum of a fixed charge $f and a cost of $d for each unit of electricity used. Find a formula for the amount charged…

Triangle ABC is isosceles with AB = BC. Angle ABC = 78.2°, angle DAC = 43.2°, angle ADC = 110.9° and DC = 9.9 cm. Show that AC = 13.5 cm correct to 3 significant figures.

A metal sphere has a volume of 9203 cm³. The sphere is inside a cube and touches each face of the cube. Find the volume of the cube.

32 students in a class are asked which of three activities they like. W = {students who like walking}, S = {students who like swimming}, C = {students who like cycling}. The Venn…