Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th June 2024
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
- 3Algebraic Fractions3 marks
Simplify (x^2 - 12x + 32)/(x - 8).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 112.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 3 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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