Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 3Inverse and Composite Functions3 marks
f(x) = 5x + 6. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 12 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 11 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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