Core Mathematics quick practice

Question 1 of 10

y varies jointly as x and z. When x = 4 and z = 2, y = 40. Find y when x = 6 and z = 4.

Question 2 of 10

The sum of the interior angles of a polygon is 1,440°. How many sides has it?

Question 3 of 10

Find the surface area of a sphere of radius 21 cm. (π = 22/7)

Question 4 of 10

The line kx + 2y = 5 is perpendicular to 2x − y = 3. Find k.

Question 5 of 10

Solve 4x − 3 > 37.

Question 6 of 10

Find the sum of the interior angles of a polygon with 12 sides.

Question 7 of 10

How many cubes of side 2 cm fit exactly into a box 10 cm × 6 cm × 4 cm?

Question 8 of 10

A cone has a base radius of 6 cm and a vertical height of 8 cm. Taking π = 22/7, find (a) the slant height, (b) the curved surface area, (c) the total surface area, (d) the volume.

Question 9 of 10

Solve x² − 7x + 2 = 0 using the quadratic formula, giving your answers correct to 2 decimal places. State the nature of the roots.

Question 10 of 10

Parallel lines give infinitely many solutions.