Daily Practice

Higher Plus

10th May 1960

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 (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 5 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 5 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
5
Algebraic Fractions3 marks
Write 3/(x - 6) + 3/(x - 5) as a single fraction.

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