Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th February 2002

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

1
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 30 wins. How many games did they play?

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