Daily Practice

Higher Plus

11th January 1990

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 19, 39, 65. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 26 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 7 cm by 6 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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