Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th February 2022

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 + 5x + 6 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of m and p.
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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