Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th August 2010
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 3Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 320.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 14 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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