Daily Practice

Higher Plus

30th June 1967

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 20x^2 - x - 12 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 36 wins. How many games did they play?

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