Daily Practice

Higher Plus

30th September 1990

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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 7 red, 7 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 20 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 168 and y = 67, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Algebraic Fractions3 marks
Simplify (x^2 - x - 2)/(x - 2).

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