| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 11 |
| What topic | |
| Question types | Open-ended |
| Number of questions | 5 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Please answer the following questions. Each question requires an open-ended response. Ensure you show all workings clearly where applicable.
Quadratic Equations
Solve the quadratic equation ( 2x^2 - 4x - 6 = 0 ). Show your workings and provide the roots.
Trigonometry
Given a right-angled triangle where one angle is ( 30^\circ ) and the hypotenuse is 10 cm, calculate the lengths of the opposite and adjacent sides. Show your calculations.
Statistics
A class of students scored the following marks in a mathematics test: 34, 45, 56, 34, 67, 78, 34, 90, 45. Calculate the mean, median, and mode of the scores.
Probability
A bag contains 4 red, 3 blue, and 2 green marbles. If a marble is drawn at random, what is the probability that it is not blue? Show your calculations.
Functions
If the function ( f(x) = 3x - 7 ), find ( f(4) ) and ( f(-2) ). Provide your calculated values.
Good luck! Please ensure that you have answered all questions before submitting your work.