Daily Practice

Higher Plus

4th August 1966

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(50), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 4x + 3)/(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?

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