Daily Practice · Higher

Daily Practice - Higher

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

18th July 2025

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
2
Standard Form3 marks
Work out (16 x 10^9) / (2 x 10^4). Give your answer in standard form.
3
Inequalities on Graphs2 marks
A region is defined by y <= 5x - 8. Should the boundary line be solid or dashed, and why?
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 36. Work out y when x = 3.
5
Spheres and Cones3 marks
A cone has base radius 6 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.

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