Daily Practice

Higher Plus

19th March 1991

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 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
3
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 21)/(x + 7).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 14 m/s over 6 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 (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.

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