Daily Practice

Higher Plus

14th August 1989

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 2.5, one 20 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A block has mass 840 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 1. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 45.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 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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