Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th August 2023
- 1Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 14 m/s over 8 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 (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 7 red, 5 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 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
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