Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st September 2014

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

1
Bounds3 marks
x = 49 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?

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