Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 16 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 10 cm, 8 cm and 12 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
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