Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th June 2011
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A block has mass 790 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Transforming Graphs y=f(x)3 marks
The point (-2, 3) lies on y = f(x). Write down its image on y = -f(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 16 m/s over 4 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 11 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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