Daily Practice

Higher Plus

25th January 1955

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 cm by 5 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 3/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
5
Factorising Harder Quadratics3 marks
Solve 12x^2 + 17x - 5 = 0.

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