Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th March 2016
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 3Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 441.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 3 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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