Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd November 2022
- 1Bounds3 marks
A rectangle is 18 cm by 23 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 (4x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 6 cm and an area of 25.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
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