Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A block has mass 530 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.
- 3Inverse and Composite Functions3 marks
f(x) = 5x - 5 and g(x) = 2x - 8. Work out fg(5).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 10 m/s over 10 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 3b and vector RS = 6a - 6b. What does this show about PQ and RS?
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