Daily Practice

Higher Plus

12th June 1988

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 (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 59 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 9, 16, 27. Work out the second difference, and the coefficient of n^2.

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