Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th February 2009

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 35 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 3 : 1. Write vector OP in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 98 wins. How many games did they play?

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