Daily Practice

Higher Plus

7th June 1962

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(18) + sqrt(8), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x - 9.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 23 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 9 cm by 10 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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