Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd June 2023
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 3Transforming Graphs y=f(x)3 marks
The point (0, -4) lies on y = f(x). Write down its image on y = f(x) + 1.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 13 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 7 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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