Daily Practice · Higher

Daily Practice - Higher

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

30th April 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 13 cm and one shorter side of 12 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 18 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
4
Standard Form3 marks
Work out (35 x 10^8) / (7 x 10^5). Give your answer in standard form.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x + 3)(x - 5).

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