Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th January 2025
- 1Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 17 m/s over 8 seconds. Work out the acceleration.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 7 red, 6 blue and 3 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 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
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