Daily Practice · Higher

Daily Practice - Higher

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

17th February 2026

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 33°, angle B is 117° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 4 in B only, 7 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
35 newts are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 6.

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