Daily Practice

Higher

30th October 1987

5 questions · 12 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
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
3
Inequalities on Graphs2 marks
A region is defined by y < -2x + 2. Should the boundary line be solid or dashed, and why?
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 24. Work out y when x = 10.
5
Spheres and Cones3 marks
A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.

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