Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th September 2013
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 11 cm by 14 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 3/7. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 5Factorising Harder Quadratics3 marks
Solve 12x^2 - 11x - 5 = 0.
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