Daily Practice

Higher Plus

12th December 1976

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 (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 3 red, 7 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 20 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 84 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.

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