Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

31st July 2013

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 (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 6 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 20 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 10 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 16, 31, 52, 79. Work out the second difference, and the coefficient of n^2.

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