Daily Practice · Higher Plus

Daily Practice - Higher Plus

17th August 1992

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

1
Bounds3 marks
A block has mass 820 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 9x^2 - 12x - 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?

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