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Decimals Fractions Percentages Ratios

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Decimals Fractions Percentages Ratios

Decimals Fractions Percentages Ratios

Mathematical symbols and numbers

🔢 Part 1: Decimals

1. Convert 3/4 to a decimal:
2. Round 7.846 to 2 decimal places:
3. What is 0.25 + 0.75?
4. Which decimal is largest?

0.8

0.75

0.9

0.85

5. Express 0.6 as a fraction in simplest form:
6. Calculate 2.5 × 0.4:
7. What is 5.2 - 3.75?
8. Convert 0.125 to a fraction:
9. Order these decimals from smallest to largest: 0.3, 0.03, 0.33, 0.303
10. What is 7 ÷ 8 as a decimal?
11. Round 12.567 to the nearest tenth:
12. Calculate 0.8 ÷ 0.2:

🍰 Part 2: Fractions

13. Simplify 12/16:
14. What is 2/3 + 1/6?
15. Which fraction is equivalent to 3/4?

6/8

9/15

12/15

15/18

16. Calculate 5/6 - 1/3:
17. What is 2/5 × 3/4?
18. Convert 2 3/4 to an improper fraction:
19. What is 3/8 ÷ 1/4?
20. Order these fractions from smallest to largest: 1/2, 3/8, 5/8, 1/4
21. What is the reciprocal of 2/7?
22. Calculate 1 1/3 + 2 1/6:
23. Express 7/10 in simplest form:
24. What fraction of an hour is 45 minutes?

📊 Part 3: Percentages

25. Convert 0.35 to a percentage:
26. What is 25% of 80?
27. Express 3/5 as a percentage:
28. A shirt costs $40. If there's a 15% discount, what is the sale price?
29. What percentage is 18 out of 24?
30. Convert 125% to a decimal:
31. If 60% of students passed a test and 24 students passed, how many students took the test?
32. What is 8% of 250?
33. A population increases from 500 to 650. What is the percentage increase?
34. Convert 7/8 to a percentage:
35. What percentage of 200 is 45?
36. If GST is 15%, what is the total cost of an item priced at $120 before tax?

⚖️ Part 4: Ratios

37. Simplify the ratio 12:18:
38. In a class of 30 students, the ratio of boys to girls is 3:2. How many boys are there?
39. Express the ratio 5:8 as a fraction:
40. If the ratio of cats to dogs is 4:7 and there are 28 dogs, how many cats are there?
41. What is the ratio of 45 minutes to 2 hours?
42. Divide $150 in the ratio 2:3:
43. The ratio of red to blue marbles is 5:3. If there are 15 red marbles, how many blue marbles are there?
44. Express 25:100 in simplest form:
45. What is the ratio of 750g to 2kg?
46. If a recipe calls for ingredients in the ratio 3:4:5 and you use 12 units of the first ingredient, how much of each of the other ingredients do you need?
47. The ratio of length to width of a rectangle is 7:4. If the length is 21cm, what is the width?
48. Express the ratio 0.6:1.2 in simplest form:

🔄 Part 5: Mixed Comparisons

49. Which is larger: 0.7 or 3/4?
50. Order from smallest to largest: 65%, 0.6, 2/3
51. Express the ratio 3:5 as a percentage:
52. Which represents the same value?

0.25, 1/4, 25%

0.3, 3/10, 33%

0.5, 1/3, 50%

0.75, 3/4, 70%

53. Convert the ratio 2:8 to a decimal:
54. Which is smallest: 40%, 0.45, or 2/5?
55. Express 0.125 as a fraction, percentage, and ratio:
56. If 3/8 of a pizza is eaten, what percentage remains?
57. Order these values: 7/10, 72%, 0.68, 3:4
58. A ratio of 4:5 represents what percentage of the total?
59. Which is greater: 85% or 17/20?
60. Complete the equivalent forms: 0.6 = ___/5 = ___% = ___:10

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