Daily Practice

Higher

8th January 1980

5 questions · 15 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 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
25 voles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6262... as a fraction in its simplest form.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -4x - 3 that passes through (5, -19).

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