Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th December 2025
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 21, 44, 77. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs3 marks
A tram runs at 4 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 6b and vector RS = 24a - 24b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 30 wins. How many games did they play?
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
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