Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th February 1999
- 1Bounds3 marks
A car covers 190 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 8 cm and an area of 42.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
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