Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th December 2000
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Write x^2 - 8x + 9 in the form (x + a)^2 + b.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 12 m/s over 5 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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