Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th September 2014

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 8 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 1/2. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 29, 55, 89. Work out the second difference, and the coefficient of n^2.

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