Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th January 2005

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 170 and y = 155, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (0, -3) lies on y = f(x). Write down its image on y = f(x + 4).
4
Velocity 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.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 3a + 18b. What does this show about PQ and RS?

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