Daily Practice

Higher

5th August 1980

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 10 in B only, 3 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
45 newts are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 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 + 5)(x - 5)(x - 2).

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