Daily Practice

Higher Plus

7th October 1952

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 8 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
5
Algebraic Fractions3 marks
Simplify (x^2 - 5x + 6)/(x - 3).

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