Daily Practice

Higher Plus

3rd April 1956

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
3
Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 < 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 19 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 = 6a - 3b and vector RS = 24a - 12b. What does this show about PQ and RS?

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