Daily Practice

Higher Plus

24th June 1953

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 27 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Write x^2 - 14x + 7 in the form (x + a)^2 + b.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 128.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 15 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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