Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th January 1995

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 = p and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 21 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).

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