Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st September 1999
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 9 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x + 13.
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