Daily Practice - Higher Plus
15th April 1996
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
A block has mass 860 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Algebraic Fractions3 marks
Write 2/(x + 2) + 5/(x - 1) as a single fraction.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 29 m/s over 10 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 11 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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