Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th April 2022

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

1
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 7 wins. How many games did they play?

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