Daily Practice

Higher

10th November 1981

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

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
15 beetles are marked and released. Later 10 are caught, of which 2 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
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -2x - 1 that passes through (4, -14).

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