Daily Practice

Higher

8th March 1955

5 questions · 14 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 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
15 fish are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(72) 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 - 6 that passes through (4, -2).

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