Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

1st September 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 5. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
24 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
Fractional and Negative Indices3 marks
Work out 27^(2/3).

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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of September 2025, including the monthly compilation PDF.