Daily Practice

Higher Plus

21st August 1990

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x - 8.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 28 m/s over 8 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

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