Daily Practice

Higher Plus

21st August 1978

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 = p and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 8 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A block has mass 280 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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