Daily Practice

Higher Plus

25th July 1989

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. 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 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 19, 30, 43. Work out the second difference, and the coefficient of n^2.

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