Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th August 2025
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 84 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Factorising Harder Quadratics3 marks
Solve 12x^2 + 35x + 25 = 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 175.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
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