Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th October 1996

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 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 - 10x + 24)/(x - 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 17 m/s over 4 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 (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.

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