Daily Practice

Higher Plus

4th March 1990

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 (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 5 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 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
x = 195 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 7.

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