Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2003
- 1Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
- 4Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 4 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
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