Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th March 2025

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 9x + 18)/(x + 3).
3
Velocity Time Graphs2 marks
A train slows steadily from 24 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 = c. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 24 wins. How many games did they play?

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