Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th November 2020
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 4 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A block has mass 310 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Quadratic Inequalities3 marks
Solve x^2 + 4x - 5 < 0.
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