Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th November 2012
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 10, 17, 28, ...
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 11.5 m/s over 5 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 12a + 20b. What does this show about PQ and RS?
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