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 10 units wide with density 3. How many values in total?
- 2Bounds3 marks
A rectangle is 9 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Completing the Square3 marks
Write x^2 - 2x + 13 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 324.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 10 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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