Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th January 2025
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 40 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Algebraic Fractions3 marks
Write 3/(x - 3) + 6/(x + 2) as a single fraction.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 20 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 (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
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