Daily Practice

Higher Plus

14th February 1955

5 questions · 14 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 1.2, one 25 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A block has mass 880 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 10, 23, 40. 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 = 28. Work out the positive value of x when y = 252.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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