Daily Practice

Higher Plus

29th October 1982

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 = 3, y = 4. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of a and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

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