Daily Practice

Higher Plus

14th June 1988

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 4 = y(x + 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 11 m/s over 10 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 = 3a - 2b and vector RS = 9a - 6b. What does this show about PQ and RS?

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