Daily Practice

Higher Plus

23rd February 1986

5 questions · 15 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 4 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
4
Bounds3 marks
x = 44 and y = 13, 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 (4, -4) lies on y = f(x). Write down its image on y = f(-x).

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