Daily Practice · Higher Plus

Daily Practice - Higher Plus

2nd January 1996

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 3 red, 4 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 2, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
5
Quadratic Inequalities3 marks
Solve x^2 + 4x - 12 < 0.

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