Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2023
- 1Completing the Square3 marks
Write x^2 - 10x - 8 in the form (x + a)^2 + b.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 19 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
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