Daily Practice

Higher Plus

27th November 1984

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

1
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 36 wins. How many games did they play?

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