Daily Practice

Higher Plus

11th October 1974

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 64.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. M is the midpoint. Write vector OM in terms of a and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 84 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.

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