Daily Practice

Higher Plus

15th December 1985

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 176 and y = 138, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Write 2/(x - 6) + 7/(x + 5) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 21 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 (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.

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