Daily Practice

Higher Plus

6th April 1964

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 sqrt(x). When x = 49, y = 63. Work out y when x = 25.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of q and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 18 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Bounds3 marks
A block has mass 270 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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