Daily Practice

Higher Plus

31st January 1988

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 = 4. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of a and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Bounds3 marks
x = 180 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.

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