Daily Practice

Higher Plus

2nd November 1954

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 8) with x(0) = 3. Work out x(1) to 3 decimal places.

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