Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th August 2008
- 1Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 17 m/s over 8 seconds. Work out the acceleration.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 4 red, 4 blue and 6 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 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of August 2008, including the monthly compilation PDF.