Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th April 2022
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 44 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Inverse and Composite Functions3 marks
f(x) = 6x + 11. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 10 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?
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