Daily Practice · Higher Plus

Daily Practice - Higher Plus

10th January 1992

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. P is the midpoint. Write vector OP in terms of m and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 28 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

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