Daily Practice

Higher

24th February 1984

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 snail population of a hedgerow. State one assumption the method relies on.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Inequalities on Graphs2 marks
A region is defined by y <= 2x - 6. Should the boundary line be solid or dashed, and why?
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 8, y = 32. Work out y when x = 15.
5
Spheres and Cones3 marks
A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.

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