Daily Practice

Higher Plus

28th July 1966

5 questions · 13 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 1.5. 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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 14, 32, 60, 98. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 25 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.

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