Daily Practice

Higher Plus

4th March 1988

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 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 3 = y(x + 3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 112.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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