Daily Practice
Higher Plus
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30th September 1982
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 10 cm by 11 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 3/7. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
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