Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th October 2010
- 1Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 67 m/s over 20 seconds. Work out the acceleration.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 3b and vector RS = 8a + 6b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 42 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
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