Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th March 2017

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 6/(x + 6) + 2/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 77 wins. How many games did they play?

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