Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 12 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Write 2/(x - 3) + 6/(x + 5) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 18 cm, 16 cm and 9 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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