Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th March 2006

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 17, 39, 71. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?

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