Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th November 2018
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 3Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 9 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 12 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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