Daily Practice

Higher

25th March 1983

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
Reverse Percentages3 marks
A bill is £864 including VAT at 20%. Work out the amount before VAT.
3
Inequalities on Graphs2 marks
A region is defined by y <= -x - 5. 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 = 8. Work out y when x = 7.
5
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.

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