Daily Practice

Higher Plus

11th July 1980

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 = 16. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 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
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.

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