Higher Plus
1st March 1975
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
- 2Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Transforming Graphs y=f(x)3 marks
The point (-4, 5) lies on y = f(x). Write down its image on y = f(x + 1).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 147.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 9 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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