Daily Practice · Higher

Daily Practice - Higher

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

16th January 2026

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 10x + 25.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 16. Work out y when x = 6.
3
The Sine Rule3 marks
In triangle ABC, angle A is 46°, angle B is 57° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 11 in B only, 11 in both and 5 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.

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