Daily Practice

Higher Plus

29th August 1971

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 15 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
4
Bounds3 marks
x = 55 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Inverse and Composite Functions3 marks
f(x) = 3x + 6 and g(x) = 6x - 7. Work out fg(-1).

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