Daily Practice
Higher Plus
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7th October 1975
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 6 cm by 5 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 3/5. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
- 4Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
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