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 20 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Simplify sqrt(8) + sqrt(72), giving your answer in the form a sqrt(b).
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 25 m/s over 8 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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