Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th February 2026
- 1Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 27 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 3b and vector RS = 25a + 15b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 65 wins. How many games did they play?
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
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