Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th January 2025
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 4.
- 2Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -5. Work out the gradient of a line perpendicular to it.
- 3Conditional Probability3 marks
26 students study Spanish and 10 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 8, lower quartile 13, median 20, upper quartile 26 and maximum 31. Work out the interquartile range.
- 5Fractional and Negative Indices2 marks
Write 5^-3 as a fraction.
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 January 2025, including the monthly compilation PDF.