Daily Practice

Higher Plus

14th May 1953

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
Inverse and Composite Functions3 marks
f(x) = 5x + 3 and g(x) = 6x - 7. Work out fg(-2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 wins. How many games did they play?

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