Daily Practice

Higher Plus

22nd January 1956

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
x = 43 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 8 = y(x + 8).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 11 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 (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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