Daily Practice

Higher Plus

29th April 1966

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 1.2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
3
Completing the Square3 marks
Write x^2 + 4x - 6 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 17 m/s over 4 seconds. Work out the acceleration.
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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