Daily Practice

Higher Plus

28th May 1979

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 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 + 6x - 10 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 14 wins. How many games did they play?

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