Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd July 2022
- 1Bounds3 marks
A car covers 170 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 17 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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