Daily Practice · Higher

Daily Practice - Higher

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

16th July 2025

5 questions · 12 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 16 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 14 in B only, 12 in both and 7 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 11, 10, 8, 12. Write down the cumulative frequency at the end of the third class.
4
Standard Form2 marks
Work out (9 x 10^4) x (6 x 10^2). Give your answer in standard form.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 1)(x + 5).

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