Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 3Completing the Square3 marks
Write x^2 - 12x + 4 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 128.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 13 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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