Daily Practice

Higher Plus

20th December 1984

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
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 3x + 6 and g(x) = 5x + 6. Work out fg(-2).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 26 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 (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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