Daily Practice

Higher

18th September 1990

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 14 in B only, 11 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
45 beetles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 1)(x - 3).

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