Daily Practice

Higher Plus

3rd October 1975

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 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x + 2 and g(x) = 6x + 1. Work out fg(-3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 64.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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