Daily Practice

Higher Plus

6th August 1986

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 19 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -5, 1, 13, 31, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 80.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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