Daily Practice

Higher Plus

3rd February 1955

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
2
Quadratic Inequalities3 marks
Solve x^2 + 9x + 20 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
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 3/8. A player expects 6 wins. How many games did they play?

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