Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th November 2011

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 138 and y = 86, each correct to the nearest whole number. Work out the upper bound of x - y.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 20, 41, 72. Work out the second difference, and the coefficient of n^2.

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