Daily Practice

Higher

18th June 1974

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x - 5)(x + 5).
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 9. Write y in terms of x.
3
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.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 18 in B only, 12 in both and 7 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
30 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.

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