Daily Practice · Higher

Daily Practice - Higher

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

6th April 2026

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 59°, angle B is 71° 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, 10 are in A only, 6 in B only, 8 in both and 4 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Standard Form2 marks
Work out (5 x 10^8) x (5 x 10^4). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 14.

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