Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Factorising Harder Quadratics3 marks
Solve 4x^2 + 16x + 15 = 0.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 68 m/s over 20 seconds. Work out the acceleration.
- 3Perpendicular 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.
- 4Conditional Probability3 marks
A bag holds 3 red, 4 blue and 2 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 5 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
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