Daily Practice

Higher Plus

4th April 1967

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 (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 6 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 1.2, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
5
Completing the Square3 marks
Write x^2 - 10x - 5 in the form (x + a)^2 + b.

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