Daily Practice

Higher Plus

1st April 1979

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, 4 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 20 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 153 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Quadratic Inequalities3 marks
Solve x^2 + 4x < 0.

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