Daily Practice

Higher Plus

25th October 1956

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 35)/(x - 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 14 wins. How many games did they play?

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