Daily Practice

Higher

28th November 1986

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 beetle population of a woodland. State one assumption the method relies on.
2
Fractional and Negative Indices3 marks
Work out 36^(3/2).
3
Inequalities on Graphs2 marks
A region is defined by y < 4x + 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 = 7, y = 49. Work out y when x = 8.
5
Spheres and Cones3 marks
A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.

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