Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2023
- 1Bounds3 marks
A rectangle is 17 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 8x - 9. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 25.
- 4The Cosine Rule3 marks
A triangle has sides of 18 cm and 7 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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