Daily Practice

Higher Plus

12th October 1980

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
x = 44 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 5x + 4 and g(x) = 3x + 2. Work out fg(-2).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 19 m/s over 5 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

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