Daily Practice

Higher Plus

30th June 1953

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 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x + 1.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 24 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 7 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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