Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th August 2024
- 1Bounds3 marks
x = 131 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 17, 41, 75. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 64°, side a is 11 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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