Daily Practice

Higher Plus

21st June 1961

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 = 3, y = 100. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. M is the midpoint. Write vector OM in terms of q and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 39 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
5
Bounds3 marks
A rectangle is 9 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.

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