Daily Practice

Higher Plus

2nd March 1985

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A car covers 370 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 20 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 + 2b and vector RS = 2a + 4b. What does this show about PQ and RS?

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