Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th October 2003

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

1
Bounds3 marks
x = 70 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 15x^2 - 17x + 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 54 wins. How many games did they play?

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