Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th August 2005
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 3 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 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
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