Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th April 2023
- 1Bounds3 marks
A rectangle is 4 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 75°, side a is 18 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 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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