Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2014
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 4Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
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