Daily Practice

Higher Plus

5th January 1989

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(245), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 5x - 7. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 32 wins. How many games did they play?

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