Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th March 2011

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 18, 37, 62, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 486.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.

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