Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th December 2019
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
- 3Quadratic Inequalities3 marks
Solve x^2 - 6x + 5 > 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 26 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 14 cm by 11 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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