Daily Practice

Higher Plus

12th November 1987

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 2/(x - 1) + 6/(x - 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 wins. How many games did they play?

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