| Topic | Problem | Solution |
|---|---|---|
| None | $\frac{2}{3} x-2=5$ | Add 2 to both sides of the equation: \(\frac{2}{3}x - 2 + 2 = 5 + 2\) |
| None | A shoe manufacturer wants to find out which type … | Let A, B, and C be the sets of people who use type A, type B, and type C shoes, respectively. We ar… |
| None | What is the mean of the data? \[ \{55,57,64,51,55… | Find the sum of the data: \(55 + 57 + 64 + 51 + 55 + 52 + 58 + 62 + 60 + 58 = 572\) |
| None | 6. Brandon and Marta are mowing a lawn. For every… | Find the ratio of the lawn mowed by Brandon and Marta: \(\frac{4}{9}\) |
| None | missing length. \[ c=\sqrt{[?]} \] Pythagorean Th… | Given the Pythagorean Theorem: \(a^2 + b^2 = c^2\) |
| None | The displacement (in meters) of a particle moving… | Given the displacement function: \(s = \frac{8}{t^2}\) |
| None | How many hot dogs would Emelina eat in 4 hours if… | \(\text{Total hot dogs per hour} = \frac{60}{15} \times 5\) |
| None | Matthew spent \$4 on a box of chocolate that cont… | Let the total cost be \(c\) and the number of chocolates be \(n\). We are given \(c = 4\) and \(n =… |
| None | A city has a population of 230,000 people. Suppos… | This problem is about the growth of a city's population over time. The city has an initial populati… |
| None | The graph of $f$ is given. State the numbers at w… | To find the points where the function is not differentiable, we need to look for sharp turns, corne… |
| None | Part 2 of 5 An online poll asked: "Do you believe… | The null hypothesis (H0) is usually a statement of no effect or no difference. In this case, the nu… |
| None | Colin surveyed 12 teachers at his school to deter… | Calculate the mean: \(\frac{10+5+8+10+12+6+8+10+15+6+12+18}{12} = 10\) |
| None | Q5. What steps would you use to solve the equatio… | Solve the multiplication and division part: \( (32 \div 16) \times 4 = 8 \) |
| None | $42+12 \div 6=$ | Perform the division operation: $12 \div 6 = 2$ |
| None | Hall wrapped 36 presents in 2 hours. At that rate… | \(\text{Rate} = \frac{36 \text{ presents}}{2 \text{ hours}} = 18 \text{ presents/hour} \) |
| None | 3. $8,218 \overline{6}=$ | Set the repeating decimal as a variable x: \(x = 8.218\overline{6}\) |
| None | $55 \div 2 \times 10+11-6$ | Perform the division and multiplication: \(55 \div 2 \times 10 = 275\) |
| None | c) $\frac{5}{9} \times \frac{5}{10} \times \frac{… | For question c, multiply the fractions: \(\frac{5}{9} \times \frac{5}{10} \times \frac{9}{5}\) = \(… |
| None | 2021 HIHER SCHOOL CERTIFICATE-EXAMINATION PAPER Q… | Find the x values for the outer and inner curves at y = 2: \(x_{outer} = \pm\sqrt{2}\), \(x_{inner}… |
| None | 4) $\int \frac{x^{2}+2 x}{x^{2}+2 x+1} d x$ | Simplify the function: \(f(x) = \frac{x^2 + 2x}{x^2 + 2x + 1}\) |
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