Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th July 2026
- 1Reverse Percentages3 marks
A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve x^2 + 12x - 10 = 0, to 2 decimal places.
- 3Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 18. Work out y when x = 6.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 13 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
11 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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 July 2026, including the monthly compilation PDF.