Daily Practice

Higher Plus

21st February 1961

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. M is the midpoint. Write vector OM in terms of b and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 39 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).

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