Daily Practice

Higher Plus

1st March 1988

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 = 54. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the midpoint. Write vector ON in terms of a and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 50 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).

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