Daily Practice · Higher

Daily Practice - Higher

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

18th March 2025

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 80°, angle B is 61° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 11 in B only, 5 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £48 including VAT at 20%. Work out the amount before VAT.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x + 2.

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