Daily Practice

Higher Plus

19th October 1967

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 12 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 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. 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
Quadratic Inequalities3 marks
Solve x^2 - 5x < 0.

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