Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th March 2024
- 1Bounds3 marks
A rectangle is 20 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides of 13 cm and 14 cm with an angle of 116° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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