Daily Practice · Higher Plus

Daily Practice - Higher Plus

8th July 1994

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

1
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 21)/(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 45 wins. How many games did they play?

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