Daily Practice

Higher Plus

5th March 1957

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 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 14 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 14 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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