Daily Practice

Higher Plus

26th July 1983

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 = 2, y = 24. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 10 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).

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