Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th July 1992

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 1.2, one 5 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 52 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 3x - 9 and g(x) = 3x + 5. Work out fg(5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 216.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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