Daily Practice · Higher

Daily Practice - Higher

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

17th June 2026

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 15 in B only, 6 in both and 9 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 12, 7, 12, 11. Write down the cumulative frequency at the end of the third class.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8888... as a fraction in its simplest form.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x + 5)(x - 5).

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