Daily Practice

Higher Plus

4th June 1982

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (1, 3) lies on y = f(x). Write down its image on y = f(x) - 1.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 64 m/s over 20 seconds. Work out the acceleration.
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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