Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 21, 47, 83. Work out the second difference, and the coefficient of n^2.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of May 1999, including the monthly compilation PDF.