Daily Practice

Higher Plus

6th June 1960

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 420 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x + 9.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 32 wins. How many games did they play?

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