Daily Practice

Higher Plus

26th February 1963

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 (2 + sqrt(2))(2 - sqrt(2)).
3
Transforming Graphs y=f(x)3 marks
The point (3, -3) lies on y = f(x). Write down its image on y = f(-x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 23 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 = 5a + b and vector RS = 25a + 5b. What does this show about PQ and RS?

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