Daily Practice

Higher Plus

15th February 1985

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 = 4, y = 8. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.

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