Daily Practice

Higher Plus

19th August 1971

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 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Write x^2 + 6x + 13 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 12 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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