Daily Practice · Higher Plus

Daily Practice - Higher Plus

12th January 1994

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 (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 3 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 20 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
4
Bounds3 marks
A rectangle is 26 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 25, 53, 91. Work out the second difference, and the coefficient of n^2.

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