Daily Practice

Higher

28th August 1970

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

1
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Inequalities on Graphs2 marks
A region is defined by y < 4x - 7. Should the boundary line be solid or dashed, and why?

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