Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th December 2016
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A block has mass 590 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Inverse and Composite Functions3 marks
f(x) = 4x - 5. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 13 m/s over 8 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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