Daily Practice

Higher Plus

7th July 1977

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

1
Surds3 marks
Simplify sqrt(75) + 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 directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 3 wins. How many games did they play?

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