Daily Practice

Higher Plus

26th July 1966

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 13 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.

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