Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th November 1997
- 1Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A rectangle is 10 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 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 = 4, y = 256. Work out y when x = 5.
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