Daily Practice

Higher

19th June 1962

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

1
Capture Recapture3 marks
20 beetles are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 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 - 3. Should the boundary line be solid or dashed, and why?
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
5
Spheres and Cones3 marks
A cone has base radius 2 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.

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