Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th January 2022
- 1Inverse and Composite Functions3 marks
f(x) = 5x - 3 and g(x) = 6x - 7. Work out fg(-3).
- 2Velocity Time Graphs3 marks
A tram runs at 9 m/s for 20 s, then slows steadily to rest over 4 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 = a - 4b and vector RS = 3a - 12b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 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 3. How many more values are in the wider class?
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