Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

13th August 2009

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Factorising Harder Quadratics3 marks
Solve 12x^2 - 11x + 2 = 0.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 252.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 20 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?

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