Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th February 2024
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 149 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Write x^2 + 10x - 12 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 18 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 7 cm by 12 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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