Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th April 2025
- 1Inverse and Composite Functions3 marks
f(x) = 7x - 10. Work out the inverse function f^-1(x).
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 27 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
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