Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

11th October 2005

5 questions · 14 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 4 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
60 fish are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = 4x - 7 that passes through (4, 11).

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