Daily Practice · Higher Plus

Daily Practice - Higher Plus

19th January 1993

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 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
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 3 m/s to 13 m/s over 4 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 = 10a - 12b. What does this show about PQ and RS?

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