Daily Practice

Higher Plus

4th April 1955

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

1
Bounds3 marks
A block has mass 560 g (to the nearest 10 g) and volume 24 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 (5x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 2 wins. How many games did they play?

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