Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 2010
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 14 cm by 4 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 4/5. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
- 5Completing the Square3 marks
Write x^2 + 16x - 6 in the form (x + a)^2 + b.
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