Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd September 2022
- 1Algebraic Fractions3 marks
Write 4/(x - 3) + 6/(x + 4) as a single fraction.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 26 m/s over 8 seconds. Work out the acceleration.
- 3Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 4Conditional Probability3 marks
A bag holds 6 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 3.5. How many values in total?
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