Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th December 2002
- 1Capture Recapture3 marks
25 newts are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 2The 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?
- 3Inequalities on Graphs2 marks
A region is defined by y < 3x + 7. Should the boundary line be solid or dashed, and why?
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
- 5Spheres and Cones3 marks
A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2002, including the monthly compilation PDF.