Daily Practice

Higher Plus

18th January 1983

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 15, 29, 47. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 125.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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