Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd January 2024
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 24, 43, 68. Work out the second difference, and the coefficient of n^2.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 288.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 14 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
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