Daily Practice

Higher Plus

12th June 1971

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Perpendicular Lines and the equation of a tangent3 marks
The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A car covers 890 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Completing the Square3 marks
Write x^2 - 4x - 12 in the form (x + a)^2 + b.

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