Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th November 1998
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 4 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Transforming Graphs y=f(x)3 marks
The point (1, 2) lies on y = f(x). Write down its image on y = f(x + 3).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 15 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 12 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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