Foundation Plus

Grouped data has five classes of width 10, the first being 20 < x ≤ 30. The frequencies in order are 11, 3, 16, 21, 7. Write down the modal class.Grouped data has five classes of width 10, the first being 20 < x <= 30. The frequencies in order are 11, 3, 16, 21, 7. Write down the modal class.

Write 7¹² x 7² as a single power of 7.Write 7^12 x 7^2 as a single power of 7.

The lines y = 4x - 16 and y = -4x + 32 are drawn. Write down the coordinates of the point where they cross.

A map has a scale of 1 : 50000. Two villages are 6 cm apart on the map. How far apart are they in real life, in km?

A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of π.A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.