Higher Plus
9th February 1965
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
- 3Transforming Graphs y=f(x)3 marks
The point (-4, 3) lies on y = f(x). Write down its image on y = f(x) + 2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 36.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
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