Daily Practice

Higher Plus

3rd June 1955

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

1
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 9x + 14)/(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 104 wins. How many games did they play?

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