Question: Generate a 10 question SECTION B CORE MATHEMATICS TEST in wassce standard. The test should cover the following topics: ratio and proportion, speed, blood pressure and body Mass index, financial Mathematics, box and whisker plot, mean deviation, cumulative frequency curve, median, mean. Mode, modular arithmetic, distance time graph. The questions should be based on all the knowledge levels. It should include core Mathematics questions from the new Ghanaian mathematics curriculum
1. Ratio and Proportion: If the ratio of boys to girls in a class is $3:4$ and there are $28$ girls, find the total number of students.
2. Speed: A car travels $150$ km in $3$ hours. Calculate its average speed.
3. Blood Pressure and Body Mass Index (BMI): A person has a weight of $70$ kg and a height of $1.75$ m. Calculate their BMI using the formula $$\text{BMI} = \frac{\text{weight (kg)}}{\text{height (m)}^2}$$.
4. Financial Mathematics: If a sum of money $P$ is invested at an interest rate of $5\%$ per annum simple interest for $4$ years, find the total amount.
5. Box and Whisker Plot: Given the data set $\{3, 7, 8, 5, 12, 14, 21, 13, 18\}$, find the median and interquartile range.
6. Mean Deviation: Calculate the mean deviation from the mean for the data set $\{4, 8, 6, 5, 3\}$.
7. Cumulative Frequency Curve: Explain how to construct a cumulative frequency curve from grouped data.
8. Median, Mean, Mode: For the data set $\{2, 3, 3, 5, 7, 10, 3\}$, find the median, mean, and mode.
9. Modular Arithmetic: Find the remainder when $12345$ is divided by $7$.
10. Distance-Time Graph: A graph shows a car traveling at a constant speed for $2$ hours covering $120$ km, then stopping for $1$ hour, and then traveling again at $60$ km/h for $1$ hour. Sketch the distance-time graph and find the total distance traveled.
Each question covers a key topic from the Ghanaian core mathematics curriculum and includes a range of difficulty levels to test understanding comprehensively.