Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th October 1996

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 5x^2 + 9x + 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?

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