Daily Practice

Higher Plus

12th October 1955

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, one 20 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 14 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 7 = y(x + 7).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 486.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 3 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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