Daily Practice

Higher Plus

13th February 1978

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 2.5, one 10 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A block has mass 260 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 2 = y(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 150.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 15 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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