Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 1998
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x + 13.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 17 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
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 December 1998, including the monthly compilation PDF.