Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

23rd February 1999

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
30 beetles are marked and released. Later 22 are caught, of which 2 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
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 14x + 48.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
5
The Sine Rule3 marks
In triangle ABC, angle A is 48°, angle B is 89° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.

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