Daily Practice

Higher Plus

17th May 1971

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

1
Inverse and Composite Functions3 marks
f(x) = 4x - 12. Work out the inverse function f^-1(x).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 63.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 5 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?

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