Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th November 2019
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
x = 145 and y = 120, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Inverse and Composite Functions3 marks
f(x) = 4x + 2 and g(x) = 3x - 6. Work out fg(5).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 15 m/s over 10 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
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