Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd September 2015
- 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
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
- 3Bounds3 marks
A rectangle is 22 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 81.
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