Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th July 2025
- 1Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 7. Write y in terms of x.
- 2Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -3. Work out the gradient of a line perpendicular to it.
- 3Conditional Probability3 marks
16 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Capture Recapture3 marks
50 beetles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 5Bounds2 marks
A mass is 770 kg, correct to the nearest 10. Write down the upper bound.
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 2025, including the monthly compilation PDF.