Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th April 2023
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
- 2Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
- 3Completing the Square3 marks
Write x^2 - 6x - 7 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 7 m/s to 67 m/s over 20 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 4 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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