Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

18th October 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Algebraic Fractions3 marks
Write 6/(x - 2) + 3/(x + 5) as a single fraction.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 12 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 15a - 30b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 12 wins. How many games did they play?
5
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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