Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st April 2004
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - b and vector RS = 8a - 2b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 44 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Simplify sqrt(48) + sqrt(75), giving your answer in the form a sqrt(b).
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
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