Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd September 2008
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A rectangle is 12 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Transforming Graphs y=f(x)3 marks
The point (-1, 2) lies on y = f(x). Write down its image on y = -f(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 144.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 5 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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