Daily Practice

Higher Plus

28th September 1956

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 (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 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 2, one 25 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
5
Factorising Harder Quadratics3 marks
Solve 8x^2 + 6x - 9 = 0.

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