Daily Practice · Higher
Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
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7th April 2009
- 1Capture Recapture3 marks
55 voles are marked and released. Later 15 are caught, of which 3 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?
- 3Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 72.
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. Write y in terms of x.
- 5The Sine Rule3 marks
In triangle ABC, angle A is 58°, angle B is 36° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of April 2009, including the monthly compilation PDF.