Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th August 2008
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 6 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 8/13. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
- 5Algebraic Fractions3 marks
Simplify (x^2 + 13x + 42)/(x + 7).
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