Daily Practice

Higher Plus

8th May 1962

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 1.5, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
3
Inverse and Composite Functions3 marks
f(x) = 5x + 6 and g(x) = 6x + 2. Work out fg(5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out the positive value of x when y = 147.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 10 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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