Daily Practice

Higher Plus

13th June 1978

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 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
3
Inverse and Composite Functions3 marks
f(x) = 5x + 5. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 294.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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