Daily Practice

Higher Plus

17th September 1970

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 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 16 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 + b and vector RS = 15a + 3b. What does this show about PQ and RS?

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