Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
28th August 2026
- 1The Sine Rule3 marks
In triangle ABC, angle A is 46°, angle B is 66° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 10 in B only, 8 in both and 9 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 4Reverse Percentages3 marks
A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 4.
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