Daily Practice · Higher Plus

Daily Practice - Higher Plus

17th July 1991

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 2.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 23 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Write 5/(x - 5) + 2/(x - 2) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 17 m/s over 8 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 (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.

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