Higher Plus
20th November 1952
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 29, 56, 93. Work out the second difference, and the coefficient of n^2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 180.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - b and vector RS = 5a - 5b. What does this show about PQ and RS?
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