Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd January 2012
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 36 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Inverse and Composite Functions3 marks
f(x) = 4x - 5 and g(x) = 5x - 2. Work out fg(-2).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 17 m/s over 5 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 14 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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