Daily Practice

Higher

22nd February 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 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = 3x - 8 that passes through (5, 18).

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