UST Elementary Daily Math Challenge
Week 6 — Fractions, Ratios & Proportional Thinking
September 21–27, 2026
50 Problems • Grades 3–5 Focus
A little math every day. A little stronger every week.
Weekly Format
每天完成一小部分;周末完成 Challenge
2
Monday: Questions 1–10
Tuesday: Questions 11–20
Wednesday: Questions 21–30
Thursday: Questions 31–40
Friday / Weekend: Questions 41–50 + Challenge
Goal: Think first, calculate second, and explain your reasoning.
Daily Practice
Questions 1–5
3
1. Which fraction is one-half? A) 1/6 B) 3/6 C) 5/6 D) 1/1
2. Which fraction is one-half? A) 1/8 B) 4/8 C) 7/8 D) 1/1
3. Which fraction is one-half? A) 1/4 B) 2/4 C) 3/4 D) 1/1
4. Which fraction is one-half? A) 1/6 B) 3/6 C) 5/6 D) 1/1
5. Which fraction is one-half? A) 1/8 B) 4/8 C) 7/8 D) 1/1
Daily Practice
Questions 6–10
4
6. Which fraction is one-half? A) 1/4 B) 2/4 C) 3/4 D) 1/1
7. Which fraction is one-half? A) 1/6 B) 3/6 C) 5/6 D) 1/1
8. Which fraction is one-half? A) 1/8 B) 4/8 C) 7/8 D) 1/1
9. Which fraction is one-half? A) 1/4 B) 2/4 C) 3/4 D) 1/1
10. Which fraction is one-half? A) 1/6 B) 3/6 C) 5/6 D) 1/1
Daily Practice
Questions 11–15
5
11. Which fraction is one-half? A) 1/8 B) 4/8 C) 7/8 D) 1/1
12. Which fraction is one-half? A) 1/4 B) 2/4 C) 3/4 D) 1/1
13. Which fraction is one-half? A) 1/6 B) 3/6 C) 5/6 D) 1/1
14. Which fraction is one-half? A) 1/8 B) 4/8 C) 7/8 D) 1/1
15. Which fraction is one-half? A) 1/4 B) 2/4 C) 3/4 D) 1/1
Daily Practice
Questions 16–20
6
16. 2/4 = ___/2
17. 3/6 = ___/2
18. 4/8 = ___/2
19. 5/10 = ___/2
20. 2/4 = ___/2
Daily Practice
Questions 21–25
7
21. 3/6 = ___/2
22. 4/8 = ___/2
23. 5/10 = ___/2
24. 2/4 = ___/2
25. 3/6 = ___/2
Daily Practice
Questions 26–30
8
26. 4/8 = ___/2
27. 5/10 = ___/2
28. 2/4 = ___/2
29. 3/6 = ___/2
30. 4/8 = ___/2
Daily Practice
Questions 31–35
9
31. Half of 12 students choose art. How many students is that?
32. Half of 14 students choose art. How many students is that?
33. Half of 16 students choose art. How many students is that?
34. Half of 18 students choose art. How many students is that?
35. Half of 20 students choose art. How many students is that?
Daily Practice
Questions 36–40
10
36. Half of 22 students choose art. How many students is that?
37. Half of 24 students choose art. How many students is that?
38. Half of 26 students choose art. How many students is that?
39. Half of 28 students choose art. How many students is that?
40. Half of 30 students choose art. How many students is that?
Daily Practice
Questions 41–45
11
41. Half of 32 students choose art. How many students is that?
42. Half of 34 students choose art. How many students is that?
43. Half of 36 students choose art. How many students is that?
44. Half of 38 students choose art. How many students is that?
45. Half of 40 students choose art. How many students is that?
Weekly Challenge
Questions 46–50
12
46. Challenge: Red:Blue = 2:3. If there are 6 blue counters, how many red counters?
47. Challenge: Red:Blue = 2:3. If there are 12 blue counters, how many red counters?
48. Challenge: Red:Blue = 2:3. If there are 18 blue counters, how many red counters?
49. Challenge: Red:Blue = 2:3. If there are 24 blue counters, how many red counters?
50. Challenge: Red:Blue = 2:3. If there are 30 blue counters, how many red counters?
Answer Key — Questions 1–5
Answer + How to Solve
13
1. Answer: B
How to solve: Half means the numerator is half of the denominator.
2. Answer: B
How to solve: Half means the numerator is half of the denominator.
3. Answer: B
How to solve: Half means the numerator is half of the denominator.
4. Answer: B
How to solve: Half means the numerator is half of the denominator.
5. Answer: B
How to solve: Half means the numerator is half of the denominator.
Answer Key — Questions 6–10
Answer + How to Solve
14
6. Answer: B
How to solve: Half means the numerator is half of the denominator.
7. Answer: B
How to solve: Half means the numerator is half of the denominator.
8. Answer: B
How to solve: Half means the numerator is half of the denominator.
9. Answer: B
How to solve: Half means the numerator is half of the denominator.
10. Answer: B
How to solve: Half means the numerator is half of the denominator.
Answer Key — Questions 11–15
Answer + How to Solve
15
11. Answer: B
How to solve: Half means the numerator is half of the denominator.
12. Answer: B
How to solve: Half means the numerator is half of the denominator.
13. Answer: B
How to solve: Half means the numerator is half of the denominator.
14. Answer: B
How to solve: Half means the numerator is half of the denominator.
15. Answer: B
How to solve: Half means the numerator is half of the denominator.
Answer Key — Questions 16–20
Answer + How to Solve
16
16. Answer: 1
How to solve: 2/4 simplifies to 1/2.
17. Answer: 1
How to solve: 3/6 simplifies to 1/2.
18. Answer: 1
How to solve: 4/8 simplifies to 1/2.
19. Answer: 1
How to solve: 5/10 simplifies to 1/2.
20. Answer: 1
How to solve: 2/4 simplifies to 1/2.
Answer Key — Questions 21–25
Answer + How to Solve
17
21. Answer: 1
How to solve: 3/6 simplifies to 1/2.
22. Answer: 1
How to solve: 4/8 simplifies to 1/2.
23. Answer: 1
How to solve: 5/10 simplifies to 1/2.
24. Answer: 1
How to solve: 2/4 simplifies to 1/2.
25. Answer: 1
How to solve: 3/6 simplifies to 1/2.
Answer Key — Questions 26–30
Answer + How to Solve
18
26. Answer: 1
How to solve: 4/8 simplifies to 1/2.
27. Answer: 1
How to solve: 5/10 simplifies to 1/2.
28. Answer: 1
How to solve: 2/4 simplifies to 1/2.
29. Answer: 1
How to solve: 3/6 simplifies to 1/2.
30. Answer: 1
How to solve: 4/8 simplifies to 1/2.
Answer Key — Questions 31–35
Answer + How to Solve
19
31. Answer: 6
How to solve: One-half means divide the total by 2.
32. Answer: 7
How to solve: One-half means divide the total by 2.
33. Answer: 8
How to solve: One-half means divide the total by 2.
34. Answer: 9
How to solve: One-half means divide the total by 2.
35. Answer: 10
How to solve: One-half means divide the total by 2.
Answer Key — Questions 36–40
Answer + How to Solve
20
36. Answer: 11
How to solve: One-half means divide the total by 2.
37. Answer: 12
How to solve: One-half means divide the total by 2.
38. Answer: 13
How to solve: One-half means divide the total by 2.
39. Answer: 14
How to solve: One-half means divide the total by 2.
40. Answer: 15
How to solve: One-half means divide the total by 2.
Answer Key — Questions 41–45
Answer + How to Solve
21
41. Answer: 16
How to solve: One-half means divide the total by 2.
42. Answer: 17
How to solve: One-half means divide the total by 2.
43. Answer: 18
How to solve: One-half means divide the total by 2.
44. Answer: 19
How to solve: One-half means divide the total by 2.
45. Answer: 20
How to solve: One-half means divide the total by 2.
Answer Key — Questions 46–50
Answer + How to Solve
22
46. Answer: 4
How to solve: For every 3 blue there are 2 red. Divide blue by 3, then multiply by 2.
47. Answer: 8
How to solve: For every 3 blue there are 2 red. Divide blue by 3, then multiply by 2.
48. Answer: 12
How to solve: For every 3 blue there are 2 red. Divide blue by 3, then multiply by 2.
49. Answer: 16
How to solve: For every 3 blue there are 2 red. Divide blue by 3, then multiply by 2.
50. Answer: 20
How to solve: For every 3 blue there are 2 red. Divide blue by 3, then multiply by 2.
Week Complete!
Think • Reason • Solve • Explain