Daily Practice

Higher Plus

25th November 1966

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
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 5.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 13 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

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