Daily Practice

Higher Plus

28th August 1954

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 4 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 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 17, 36, 65, 104. Work out the second difference, and the coefficient of n^2.

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