Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

10th February 2009

5 questions · 14 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 11 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 8/11. 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 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 6, 11, 18. Work out the second difference, and the coefficient of n^2.

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