Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd June 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 sqrt(x). When x = 9, y = 15. Work out y when x = 25.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.

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