Daily Practice

Higher Plus

3rd October 1967

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 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
3
Algebraic Fractions3 marks
Simplify (x^2 - 10x + 24)/(x - 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 13 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 = a + 2b and vector RS = 3a + 6b. What does this show about PQ and RS?

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