Daily Practice

Higher Plus

8th November 1982

5 questions · 14 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 16 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 10x^2 + 17x + 6 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 90 wins. How many games did they play?

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