Daily Practice · Higher

Daily Practice - Higher

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

11th July 2026

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 36°, angle B is 93° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 5 in B only, 3 in both and 3 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 14, lower quartile 20, median 30, upper quartile 37 and maximum 44. Work out the interquartile range.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 20.

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