Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th August 2022
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 4, 13, 28, 49. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs3 marks
A tram runs at 5 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 11 cm by 10 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 1/3. Work out n.
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
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