Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

10th July 2005

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

1
Bounds3 marks
x = 40 and y = 12, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 18 wins. How many games did they play?

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