Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th November 2023
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 127 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 4Velocity Time Graphs3 marks
A tram runs at 19 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
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