Daily Practice

Higher Plus

11th May 1990

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x - 3.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 19 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 15 cm by 11 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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