Daily Practice

Higher Plus

15th April 1958

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 9 cm by 9 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 8 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 20 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 17, 36, 65, 104. Work out the second difference, and the coefficient of n^2.

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