Daily Practice

Higher Plus

28th August 1990

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

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Algebraic Fractions3 marks
Write 3/(x - 5) + 3/(x - 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 84 wins. How many games did they play?

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