Daily Practice

Higher Plus

28th June 1966

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 10, 17, 26, 37, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 729.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.

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