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 1.5, one 20 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
A rectangle is 13 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Factorising Harder Quadratics3 marks
Solve 5x^2 + 18x - 8 = 0.
- 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 = 384.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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