Daily Practice · Higher

Daily Practice - Higher

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

31st December 2025

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 40°, angle B is 40° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 15 in B only, 5 in both and 10 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 7, 10, 10, 3. Write down the cumulative frequency at the end of the third class.
4
Fractional and Negative Indices3 marks
Work out 81^(3/2).
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 6.

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