Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th January 2018
- 1Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Factorising Harder Quadratics3 marks
Solve 3x^2 - 11x + 10 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 73°, side a is 11 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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