Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th September 1998

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

1
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 15x + 56)/(x - 8).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 6 wins. How many games did they play?

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