Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th September 2024
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
x = 78 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x + 15.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 150.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 7 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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