Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 20 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 7, 17, 31. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 11 cm and an area of 38.11 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
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