Daily Practice

Higher Plus

19th September 1980

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
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 x^3. When x = 4, y = 384. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the midpoint. Write vector OM in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 70 wins. How many games did they play?

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