Daily Practice

Higher Plus

7th January 1955

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 (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 3 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 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
5
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

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