Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd March 2007
- 1SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 2Probability Trees3 marks
A bag holds 4 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 4Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 5Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = x - 7 that passes through (5, 14).
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