Daily Practice

Higher

22nd January 1991

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 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
30 voles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £120 including VAT at 20%. Work out the amount before VAT.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = 5x - 9 that passes through (4, 27).

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