Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 3. How many values in total?
- 2Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 144.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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