Daily Practice

Higher Plus

13th June 1957

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 4 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 27, 53, 87. Work out the second difference, and the coefficient of n^2.

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