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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 955 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 129 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  5. 5.A clock shows 7:04. What time will it show 57 minutes later? (a) 8:11 (b) 8:01 (c) 7:51 (d) 9:01
  6. 6.A clock shows 1:05. What time will it show 94 minutes later? (a) 2:49 (b) 3:39 (c) 2:39 (d) 2:29
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 22 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  11. 11.A clock shows 6:23. What time will it show 74 minutes later? (a) 7:47 (b) 7:37 (c) 8:37 (d) 7:27
  12. 12.How many degrees does the minute hand of a clock turn in 54 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  14. 14.A clock shows 1:01. What time will it show 83 minutes later? (a) 2:24 (b) 2:34 (c) 3:24 (d) 2:14
  15. 15.A clock shows 5:13. What time will it show 53 minutes later? (a) 5:56 (b) 6:16 (c) 6:06 (d) 7:06
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 10 minutes? =
  18. 18.A clock shows 3:00. What time will it show 87 minutes later? (a) 4:17 (b) 4:37 (c) 4:27 (d) 5:27
  19. 19.How many degrees does the hour hand of a clock turn in 104 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  21. 21.A clock shows 3:49. What time will it show 83 minutes later? (a) 5:02 (b) 5:22 (c) 5:12 (d) 6:12
  22. 22.How many degrees does the hour hand of a clock turn in 85 minutes? =
  23. 23.A clock shows 5:40. What time will it show 45 minutes later? (a) 7:25 (b) 6:25 (c) 6:35 (d) 6:15
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  25. 25.A clock shows 4:10. What time will it show 55 minutes later? (a) 6:05 (b) 5:05 (c) 4:55 (d) 5:15
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 134 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 33 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  31. 31.A clock shows 4:22. What time will it show 68 minutes later? (a) 5:40 (b) 5:20 (c) 5:30 (d) 6:30
  32. 32.How many degrees does the minute hand of a clock turn in 2 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 41 minutes? =
  34. 34.A clock shows 11:22. What time will it show 127 minutes later? (a) 1:19 (b) 1:29 (c) 1:39 (d) 2:29
  35. 35.How many degrees does the minute hand of a clock turn in 28 minutes? =
  36. 36.A clock shows 8:17. What time will it show 14 minutes later? (a) 8:31 (b) 8:41 (c) 9:31 (d) 8:21
  37. 37.How many degrees does the hour hand of a clock turn in 31 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  39. 39.A clock shows 3:26. What time will it show 148 minutes later? (a) 5:54 (b) 6:04 (c) 6:54 (d) 5:44
  40. 40.A clock shows 6:35. What time will it show 68 minutes later? (a) 7:33 (b) 7:53 (c) 8:43 (d) 7:43

Answer key

  1. 86.5
  2. 64.5
  3. 24
  4. 30
  5. 8:01
  6. 2:39
  7. 151.5
  8. 132
  9. 125.5
  10. 153.5
  11. 7:37
  12. 324
  13. 102.5
  14. 2:24
  15. 6:06
  16. 95
  17. 5
  18. 4:27
  19. 52
  20. 53
  21. 5:12
  22. 42.5
  23. 6:25
  24. 70.5
  25. 5:05
  26. 104
  27. 67
  28. 198
  29. 13
  30. 163
  31. 5:30
  32. 12
  33. 246
  34. 1:29
  35. 168
  36. 8:31
  37. 15.5
  38. 80
  39. 5:54
  40. 7:43

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