Daily Practice

Higher Plus

7th January 1983

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

1
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - 2x < 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 = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?

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