Daily Practice · Higher

Daily Practice - Higher

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

16th April 2024

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 33°, angle B is 104° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 12 in B only, 3 in both and 8 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
15 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.1313... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x - 4.

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