Daily Practice

Higher Plus

5th November 1958

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 15 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A rectangle is 6 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 14, 27, 44. Work out the second difference, and the coefficient of n^2.

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