Daily Practice

Higher Plus

16th August 1976

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 560 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 28, 53, 86. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 27 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 = 2a + b and vector RS = 6a + 3b. What does this show about PQ and RS?

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