Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th August 2025
- 1Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 2Velocity Time Graphs3 marks
A tram runs at 10 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 = 4a + 5b and vector RS = 16a + 20b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 12 wins. How many games did they play?
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
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