Daily Practice

Higher Plus

26th March 1989

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 = 4, y = 4. Work out y when x = 25.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
5
Bounds3 marks
x = 180 and y = 81, each correct to the nearest whole number. Work out the upper bound of x - y.

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