Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th April 2003
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 10 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 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 53 and y = 34, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Completing the Square3 marks
Write x^2 - 6x + 14 in the form (x + a)^2 + b.
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