Higher Plus
24th October 1971
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
x = 195 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Transforming Graphs y=f(x)3 marks
The point (1, 2) lies on y = f(x). Write down its image on y = -f(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 144.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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