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Math Concepts: Ratio, Percent, Probability
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Math Concepts: Ratio, Percent, Probability
📚 Part 1: Key Definitions and Multiple Choice
Key Terms:
Ratio: A comparison of two or more quantities (e.g., 3:2)
Proportion: A statement that two ratios are equal
Percentage: A fraction out of 100, shown with the % symbol
Probability: The chance of an event occurring, from 0 to 1
1. Which ratio is equivalent to 6:9?
2:3
3:2
9:6
1:2
2. What is 25% as a fraction in simplest form?
25/100
1/4
1/25
2/5
3. If you roll a fair six-sided die, what is the probability of rolling an even number?
1/6
1/3
1/2
2/3
4. A recipe calls for flour and sugar in the ratio 3:1. If you use 150g of flour, how much sugar do you need?
50g
75g
100g
450g
5. What is 15% of $80?
$10
$12
$15
$20
✏️ Part 2: Problem Solving
6. In a class of 28 students, the ratio of boys to girls is 3:4. How many boys and girls are there?
7. A jacket originally costs $120. It is reduced by 20%. What is the new price?
8. Sarah flips a coin 20 times and gets 8 heads. What is the experimental probability of getting heads? Express as a fraction in simplest form.
9. If 3 pencils cost $2.40, what is the cost of 8 pencils? Use proportion to solve.
10. A school has 800 students. If 65% of them walk to school, how many students walk to school?
🎯 Part 3: Application Questions
11. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of randomly selecting a blue ball? Show as a fraction and percentage.
12. The population of a town increases from 15,000 to 18,000. What is the percentage increase?
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