Daily Practice

Higher Plus

22nd February 1957

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

1
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 3/(x - 5) + 7/(x + 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 3 wins. How many games did they play?

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