Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th May 1997

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 cm by 13 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 3 red and 5 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 2, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 14, 27, 46. Work out the second difference, and the coefficient of n^2.

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