Daily Practice

Higher Plus

13th November 1990

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 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 4, 7, 12, 19. 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 = 5, y = 175. Work out the positive value of x when y = 63.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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