Daily Practice

Higher

16th July 1985

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

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
50 voles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -3x - 4 that passes through (6, -8).

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