Daily Practice · Higher

Daily Practice - Higher

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

1st August 2025

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x - 5)(x + 3).
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 48. Work out y when x = 13.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 12 in B only, 5 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

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