Daily Practice

Higher Plus

3rd February 1967

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 (8, 15) lies on the circle x^2 + y^2 = 289. 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 5 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 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 8x - 7. Work out the inverse function f^-1(x).

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