Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd November 1993

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 24 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 3) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 19 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 (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.

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