Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st January 2018
- 1Conditional Probability3 marks
A bag holds 7 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A rectangle is 18 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
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