Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd May 1996

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 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 19 m/s over 6 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 - 4b and vector RS = 3a - 12b. What does this show about PQ and RS?

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