Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 15 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Factorising Harder Quadratics3 marks
Solve 5x^2 + 14x - 24 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 10 cm and an area of 75.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
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