Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th May 1994

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 290 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
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of m and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 49 wins. How many games did they play?

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