Daily Practice

Higher Plus

9th January 1958

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 14 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).
5
Quadratic Inequalities3 marks
Solve x^2 + 12x + 32 < 0.

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