Daily Practice · Higher

Daily Practice - Higher

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

17th April 2026

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 72. Work out y when x = 9.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 6 cm and angle 120°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
23 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
5
Standard Form2 marks
Work out (4 x 10^8) x (2 x 10^-2). Give your answer in standard form.

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