Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th July 2023

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
2
Quadratic Inequalities3 marks
Solve x^2 + 11x + 28 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?

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