Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 35 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides of 16 cm and 14 cm with an angle of 118° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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