Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st March 2000
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A rectangle is 30 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 22 m/s over 5 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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