Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th February 1997

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 (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 2 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 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x + 5.

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