Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th February 2019
- 1Bounds3 marks
A car covers 830 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 36.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 44°, side a is 20 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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