Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st November 2012

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

1
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 24, 48, 82. Work out the second difference, and the coefficient of n^2.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 175.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 11 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?

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