Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 280 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 36.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 9 cm and an area of 58.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
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