Daily Practice · Higher Plus

Daily Practice - Higher Plus

29th September 1994

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 4x + 3 and g(x) = 4x - 1. Work out fg(0).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 72.
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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