Daily Practice

Higher Plus

26th March 1968

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
Completing the Square3 marks
Write x^2 - 6x + 4 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?

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