Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st March 2015
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
- 3Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 128.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 9 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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