Daily Practice

Higher Plus

10th September 1971

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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 2 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 10 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 27, 51, 83. Work out the second difference, and the coefficient of n^2.

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