Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st September 2026
- 1Inverse and Composite Functions3 marks
f(x) = 5x - 3. Work out the inverse function f^-1(x).
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 20.5 m/s over 5 seconds. Work out the acceleration.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 3 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
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