Daily Practice

Higher Plus

14th May 1957

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -2, 6, 18, 34, ...

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