Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th August 1991

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 11 cm by 7 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 20 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
5
Algebraic Fractions3 marks
Write 4/(x - 1) + 5/(x - 4) as a single fraction.

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