Daily Practice

Higher Plus

8th August 1952

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 12 cm by 3 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 8/13. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 9) with x(0) = 4. Work out x(1) to 3 decimal places.

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