Daily Practice

Higher Plus

24th May 1972

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 = 3, y = 54. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
A rectangle is 27 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

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