Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th December 2015
- 1Bounds3 marks
x = 53 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Write x^2 - 14x + 3 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 16. Work out y when x = 2.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 50°, side a is 20 cm and side b is 7 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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