Daily Practice

Higher Plus

21st May 1967

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 = 2, y = 64. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
5
Bounds3 marks
x = 96 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.

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