Daily Practice

Higher

22nd June 1990

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
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 - 4x - 12.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 49. Work out y when x = 5.
5
The Sine Rule3 marks
In triangle ABC, angle A is 38°, angle B is 41° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.

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