Daily Practice

Higher Plus

25th October 1983

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 9 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 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
5
Algebraic Fractions3 marks
Write 3/(x - 2) + 7/(x - 1) as a single fraction.

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