Daily Practice

Higher Plus

5th May 1970

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 = 12. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 14 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).

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