Daily Practice

Higher Plus

20th September 1957

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

1
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 12x^2 + 5x - 2 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. P is the midpoint. Write vector OP in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 44 wins. How many games did they play?

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