Daily Practice · Higher

Daily Practice - Higher

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

26th September 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 44°, angle B is 87° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 15 in B only, 7 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.4848... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 6x - 7.

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