Daily Practice

Higher

7th February 1956

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

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 fish are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = 5x + 6 that passes through (5, 37).

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