Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th February 2001
- 1Capture Recapture3 marks
30 beetles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 2Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 3Inequalities on Graphs2 marks
A region is defined by y <= -2x + 6. Should the boundary line be solid or dashed, and why?
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 7. Write y in terms of x.
- 5Spheres and Cones3 marks
A cone has base radius 5 cm and vertical height 18 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 February 2001, including the monthly compilation PDF.