Daily Practice · Higher

Daily Practice - Higher

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

3rd August 2026

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Repeated Percentage Change3 marks
A price rises by 10% 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 -2. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
26 students study Spanish and 6 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 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.

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