Daily Practice · Higher

Daily Practice - Higher

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

7th October 1997

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

1
Capture Recapture3 marks
40 newts are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
3
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x + 3)(x - 4).
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
5
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.

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