Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th March 2005

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

1
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 20x^2 + 9x - 20 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 88 wins. How many games did they play?

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