Daily Practice

Higher Plus

2nd August 1984

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, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 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 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
Surds3 marks
Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 14.

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