Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 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?
- 2Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
- 3Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 25 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
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