Daily Practice

Higher Plus

13th August 1972

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 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 74 and y = 46, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 28 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 6 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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