Daily Practice · Higher

Daily Practice - Higher

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

13th November 2025

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 44°, angle B is 63° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 10 in B only, 8 in both and 3 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
4
Bounds2 marks
A mass is 140 kg, correct to the nearest 10. Write down the lower bound.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 2.

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