Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 2024
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A rectangle is 22 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Algebraic Fractions3 marks
Write 5/(x - 4) + 5/(x + 2) as a single fraction.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 125.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 5 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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