Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th March 1999
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 5 cm by 13 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 1/2. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Write 3/(x + 2) + 7/(x - 2) as a single fraction.
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