Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th July 2016
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-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 72/sqrt(6), giving your answer in its simplest form.
- 3Quadratic Inequalities3 marks
Solve x^2 + 13x + 40 < 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 19 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 4 cm by 4 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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