Daily Practice

Higher Plus

19th December 1957

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the midpoint. Write vector OX in terms of b and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 12 wins. How many games did they play?

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