Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th September 1994

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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 3 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 20 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
5
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 2 = y(x + 2).

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