Daily Practice

Higher Plus

12th March 1986

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 = a and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of a and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 21 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A rectangle is 4 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.

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