Daily Practice

Higher Plus

5th July 1987

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 x^3. When x = 2, y = 32. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
x = 39 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.

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