Daily Practice

Higher Plus

28th September 1971

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x - 6.

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