Daily Practice

Higher Plus

5th August 1981

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 = 4, y = 320. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of p and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 84 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
A rectangle is 26 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.

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