Daily Practice

Higher Plus

25th January 1972

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 x^3. When x = 3, y = 81. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of a and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).

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