Daily Practice

Higher Plus

28th October 1979

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

1
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.
2
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
x = 196 and y = 169, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Write x^2 - 6x + 11 in the form (x + a)^2 + b.

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