Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th November 2018
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 22, 43, 70. Work out the second difference, and the coefficient of n^2.
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