Daily Practice

Higher Plus

24th October 1972

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 7 = y(x + 7).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 27 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 (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

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