Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th July 1993

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 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
3
Factorising Harder Quadratics3 marks
Solve 3x^2 + 11x - 4 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 16 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 (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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