Daily Practice

Higher Plus

3rd March 1970

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 2, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
3
Inverse and Composite Functions3 marks
f(x) = 2x - 6 and g(x) = 5x + 9. Work out fg(3).
4
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.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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