Daily Practice · Higher

Daily Practice - Higher

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

23rd January 2026

5 questions · 12 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 = 60. Work out y when x = 10.
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
8 students study Spanish and 3 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 beetle population of a woodland. State one assumption the method relies on.
5
The Product Rule for Counting2 marks
A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?

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