Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd November 1995

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 (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 10 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
5
Factorising Harder Quadratics3 marks
Solve 12x^2 - 19x + 5 = 0.

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