Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th October 2007

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

1
Bounds3 marks
x = 91 and y = 25, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 6 and g(x) = 3x + 5. Work out fg(0).
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?

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