Daily Practice

Higher Plus

18th September 1990

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 15 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
5
Completing the Square3 marks
Write x^2 + 10x + 14 in the form (x + a)^2 + b.

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