Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2015
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 3 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 510 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 7x + 10)/(x - 5).
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