Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 8 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
26 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Box Plots2 marks
A box plot has minimum 14, lower quartile 23, median 29, upper quartile 33 and maximum 42. Work out the interquartile range.
- 5Fractional and Negative Indices3 marks
Work out 36^(3/2).
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of May 2026, including the monthly compilation PDF.