Daily Practice

Higher

22nd October 1985

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
60 newts are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
2
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
3
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x - 2)(x + 4).
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
5
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.

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