Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th December 2022

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

1
Surds3 marks
Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -3, 0, 7, 18. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?

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