Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th June 1998
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 109 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 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 = 512.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 11 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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