Daily Practice

Higher Plus

10th November 1960

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

1
Inverse and Composite Functions3 marks
f(x) = 5x + 2 and g(x) = 5x - 5. Work out fg(6).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 405.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 14 cm by 10 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 4 red and 9 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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