Daily Practice

Higher Plus

1st June 1954

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 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
3
Factorising Harder Quadratics3 marks
Solve 3x^2 + 20x + 25 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 15 m/s over 12 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 (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

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