Daily Practice

Higher Plus

16th April 1957

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 0.4, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
3
Transforming Graphs y=f(x)3 marks
The point (-4, 0) lies on y = f(x). Write down its image on y = -f(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 245.
5
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.

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