Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th September 2020
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 184 and y = 164, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Transforming Graphs y=f(x)3 marks
The point (6, -2) lies on y = f(x). Write down its image on y = f(x) - 1.
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 5 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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