Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
x = 76 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 16, 25, 36. Work out the second difference, and the coefficient of n^2.
- 4Direct 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 = 448.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 14 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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