Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd October 2022
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 56 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 7.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 16 m/s over 6 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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