Daily Practice · Higher

Daily Practice - Higher

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

9th August 2025

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 58°, angle B is 70° 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, 16 are in A only, 13 in B only, 11 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 5, lower quartile 13, median 23, upper quartile 32 and maximum 40. Work out the interquartile range.
4
Standard Form3 marks
Work out (81 x 10^7) / (9 x 10^2). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 20.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of August 2025, including the monthly compilation PDF.