Daily Practice

Higher Plus

13th January 1984

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 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 392.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 7 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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