Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th September 1991

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 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.

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