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 5 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 23 m/s over 8 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 14 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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