Daily Practice

Higher Plus

2nd November 1984

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 2. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 4/(x + 5) + 3/(x - 2) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 25 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 = 5a + 6b and vector RS = 20a + 24b. What does this show about PQ and RS?

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