Daily Practice

Higher Plus

8th January 1962

5 questions · 15 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 2, one 5 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A block has mass 310 g (to the nearest 10 g) and volume 25 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 Sequence3 marks
Work out the nth term of the quadratic sequence 8, 16, 32, 56, ...
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 12 cm by 15 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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