Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th March 1998
- 1Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(32) + sqrt(18), giving your answer in the form a sqrt(b).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 19, 29, 41. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
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