Daily Practice

Higher Plus

11th May 1965

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

1
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
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 directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 24 wins. How many games did they play?

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