Daily Practice

Higher Plus

18th October 1987

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 190 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 11, 33, 65. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 17 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 = a + 3b and vector RS = 5a + 15b. What does this show about PQ and RS?

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