Daily Practice

Higher

6th August 1957

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 16 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 3 in B only, 10 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
15 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
4
Standard Form2 marks
Work out (5 x 10^7) x (5 x 10^4). Give your answer in standard form.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 5)(x + 1).

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