Daily Practice

Higher

28th September 1971

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
60 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -5x - 9 that passes through (4, -31).

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