Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th December 2022
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 8.
- 2Velocity Time Graphs3 marks
A tram runs at 11 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
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