Daily Practice

Higher Plus

22nd February 1990

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 1.5, one 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(48) + sqrt(75), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 5/(x - 1) + 6/(x - 2) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. 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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