Daily Practice

Higher Plus

22nd November 1985

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

1
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the midpoint. Write vector OP in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 15 wins. How many games did they play?

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