Daily Practice

Higher

1st July 1986

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
55 fish are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
5
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.

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