Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th January 2022
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A rectangle is 26 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 4x - 12. Work out the inverse function f^-1(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 320.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
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