Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 26 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 6 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 7 cm with an angle of 45° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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