Daily Practice

Higher Plus

4th January 1981

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 0.4, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
x = 50 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 15, 26, 41, 60, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 324.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 9 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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