Daily Practice

Higher Plus

31st August 1982

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 10 cm by 14 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 3/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
5
Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?

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