Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd November 2007

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (5, 4) lies on y = f(x). Write down its image on y = f(x) - 2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 21 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 5b and vector RS = 2a + 10b. What does this show about PQ and RS?

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