Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th November 2023
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 4b and vector RS = 10a - 20b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 81 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 430 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Inverse and Composite Functions3 marks
f(x) = 2x + 3 and g(x) = 5x - 5. Work out fg(-1).
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