Daily Practice

Higher Plus

28th October 1956

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, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 3 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 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
x = 94 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Transforming Graphs y=f(x)3 marks
The point (6, 6) lies on y = f(x). Write down its image on y = f(x + 3).

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