Daily Practice

Higher Plus

14th April 1965

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 (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 5 red, 7 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 2, one 10 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 27 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Quadratic Inequalities3 marks
Solve x^2 + 7x + 10 < 0.

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