Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th July 2005

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-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 27/sqrt(3), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 3x + 4. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 16 m/s over 8 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 + 4b and vector RS = 4a + 16b. What does this show about PQ and RS?

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