Daily Practice

Higher Plus

15th July 1952

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 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 9 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 2, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
5
Algebraic Fractions3 marks
Write 7/(x + 6) + 4/(x - 3) as a single fraction.

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