Daily Practice
Higher Plus
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23rd February 1978
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 7 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 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
- 3Histograms2 marks
On a histogram, a 10-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
Simplify sqrt(8) + sqrt(98), giving your answer in the form a sqrt(b).
- 5Completing the Square3 marks
Write x^2 + 8x - 11 in the form (x + a)^2 + b.
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