Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th July 2016
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 93 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 4Velocity Time Graphs3 marks
A tram runs at 14 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.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 24a - 12b. What does this show about PQ and RS?
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