Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 185 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Write x^2 - 6x + 9 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A tram runs at 7 m/s for 10 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 (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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