Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd October 2014
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 3Inverse and Composite Functions3 marks
f(x) = 3x + 6. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 10 m/s over 4 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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