Daily Practice

Higher Plus

1st February 1973

5 questions · 13 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 3 red, 6 blue and 6 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 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -4, 1, 10, 23. Work out the second difference, and the coefficient of n^2.

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