Daily Practice

Higher Plus

28th January 1964

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 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
3
Quadratic Inequalities3 marks
Solve x^2 + 2x - 15 < 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 9 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 10 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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