Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st December 2014
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A block has mass 370 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Completing the Square3 marks
Write x^2 - 16x + 6 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 125.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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