Daily Practice - Higher Plus
24th February 1992
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A block has mass 290 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 16 m/s over 4 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 4a - 24b. What does this show about PQ and RS?
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