Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd January 2013
- 1Bounds3 marks
A rectangle is 21 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 16.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 16 cm and an area of 104.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
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