Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th October 1996

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 sqrt(x). When x = 25, y = 10. Work out y when x = 16.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).

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