Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th March 1998
- 1Bounds3 marks
A rectangle is 10 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 4x + 9. Work out the inverse function f^-1(x).
- 3Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides 22 cm, 16 cm and 10 cm. Work out the angle opposite the 22 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
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