Daily Practice

Higher Plus

13th February 1976

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

1
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 60 wins. How many games did they play?

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