Daily Practice

Higher

24th December 1957

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

1
Capture Recapture3 marks
55 newts are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
2
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.222... as a fraction in its simplest form.
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 64.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. 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 54°. Work out angle ABC, where B is on the major arc.

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