Daily Practice

Higher

24th September 1963

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

1
Capture Recapture3 marks
20 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 5)(x + 2).
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 8. Write y in terms of x.
5
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.

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