Daily Practice · Higher

Daily Practice - Higher

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

3rd July 2026

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x + 2)(x - 4).
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 10. Work out y when x = 13.
3
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.
4
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 4 in B only, 4 in both and 4 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.

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