Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th November 1995

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 10)/(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 8 wins. How many games did they play?

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