Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th November 2016
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
x = 33 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x - 13.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 486.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 9 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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