Questions covered in Standard

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. The solution set of the inequality $|x-1| \le 5$ is
2. The solution of $24x < 100$, when $x$ is a natural number, is
3. If $-3x + 17 < -13$, then
4. The region represented by $x > 0, y > 0$ and $x+y \le 1$ is
5. Which of the following points satisfies $3x + 4y \le 12$?
6. Solve the inequality $3x - 7 > 5x - 1$ for real $x$.
7. Solve $\frac{5-2x}{3} \le \frac{x}{6} - 5$.
8. Solve $|3x - 2| \le \frac{1}{2}$.
9. Solve the system of inequalities graphically: $2x + 3y \le 12, x \ge 1, y \ge 2$.
10. Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than 40.
11. A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?
12. Case Study: The IQ of a person is given by the formula $IQ = \frac{MA}{CA} \times 100$, where MA is mental age and CA is chronological age. If $80 \le IQ \le 140$ for a group of 12-year-old children.
    (i) Write the inequality for MA.
    (ii) Find the range of their mental age.
    (iii) If a child has an MA of 12, what is their IQ?