Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th April 2025
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A block has mass 450 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 10.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 46 m/s over 20 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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