Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th January 1998
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 5 cm by 12 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 3/4. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
- 5Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
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