Daily Practice

Higher Plus

4th November 1970

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 9 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 17 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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