Daily Practice · Higher

Daily Practice - Higher

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

4th August 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 5 cm and one shorter side of 3 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 13 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 newts are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
4
Bounds2 marks
A mass is 51 kg, correct to the nearest whole number. Write down the upper bound.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x + 2)(x + 1).

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