Daily Practice

Higher Plus

20th February 1987

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 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 7 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 = 4a + 4b and vector RS = 20a + 20b. What does this show about PQ and RS?

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