Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th February 1998

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

1
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x + 11.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 12 wins. How many games did they play?

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