Daily Practice

Higher Plus

18th February 1987

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 (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 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 1.5, one 20 units wide with density 3. How many values in total?
4
Bounds3 marks
A rectangle is 12 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?

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