Daily Practice

Higher

12th March 1985

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

1
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.
2
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 18 in B only, 3 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 voles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 5 mains, 4 sides and 6 drinks. How many different meals are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x - 5)(x + 5).

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