Daily Practice

Higher Plus

8th December 1967

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 1.5, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 4x - 8 and g(x) = 2x - 9. Work out fg(1).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 18.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 7 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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