Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th August 2017
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 3Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 4Velocity Time Graphs3 marks
A tram runs at 10 m/s for 20 s, then slows steadily to rest over 6 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 (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
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