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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 885 · 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 4:23? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 21 minutes? =
  4. 4.A clock shows 1:01. What time will it show 114 minutes later? (a) 2:45 (b) 3:55 (c) 2:55 (d) 3:05
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  6. 6.A clock shows 10:35. What time will it show 128 minutes later? (a) 12:43 (b) 12:33 (c) 1:43 (d) 12:53
  7. 7.A clock shows 5:55. What time will it show 127 minutes later? (a) 7:52 (b) 9:02 (c) 8:12 (d) 8:02
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  9. 9.A clock shows 4:18. What time will it show 103 minutes later? (a) 5:51 (b) 7:01 (c) 6:11 (d) 6:01
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  11. 11.A clock shows 3:12. What time will it show 113 minutes later? (a) 5:15 (b) 5:05 (c) 4:55 (d) 6:05
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  14. 14.A clock shows 8:44. What time will it show 140 minutes later? (a) 12:04 (b) 11:04 (c) 11:14 (d) 10:54
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  16. 16.A clock shows 6:46. What time will it show 58 minutes later? (a) 8:44 (b) 7:44 (c) 7:54 (d) 7:34
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  20. 20.A clock shows 3:30. What time will it show 20 minutes later? (a) 4:50 (b) 3:40 (c) 3:50 (d) 4:00
  21. 21.A clock shows 9:52. What time will it show 168 minutes later? (a) 12:30 (b) 1:40 (c) 12:50 (d) 12:40
  22. 22.How many degrees does the minute hand of a clock turn in 28 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  24. 24.A clock shows 11:31. What time will it show 101 minutes later? (a) 1:02 (b) 1:22 (c) 1:12 (d) 2:12
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 38 minutes? =
  28. 28.A clock shows 8:08. What time will it show 77 minutes later? (a) 9:35 (b) 9:15 (c) 10:25 (d) 9:25
  29. 29.How many degrees does the minute hand of a clock turn in 57 minutes? =
  30. 30.A clock shows 10:23. What time will it show 39 minutes later? (a) 11:12 (b) 10:52 (c) 12:02 (d) 11:02
  31. 31.A clock shows 1:08. What time will it show 12 minutes later? (a) 1:10 (b) 1:20 (c) 1:30 (d) 2:20
  32. 32.A clock shows 2:16. What time will it show 120 minutes later? (a) 4:26 (b) 4:16 (c) 5:16 (d) 4:06
  33. 33.How many degrees does the hour hand of a clock turn in 102 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  36. 36.A clock shows 3:03. What time will it show 63 minutes later? (a) 4:16 (b) 4:06 (c) 3:56 (d) 5:06
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  39. 39.A clock shows 3:47. What time will it show 44 minutes later? (a) 5:31 (b) 4:41 (c) 4:31 (d) 4:21
  40. 40.How many degrees does the hour hand of a clock turn in 116 minutes? =

Answer key

  1. 6.5
  2. 54
  3. 126
  4. 2:55
  5. 70.5
  6. 12:43
  7. 8:02
  8. 167
  9. 6:01
  10. 156.5
  11. 5:05
  12. 39.5
  13. 168
  14. 11:04
  15. 24.5
  16. 7:44
  17. 67.5
  18. 49
  19. 43.5
  20. 3:50
  21. 12:40
  22. 168
  23. 15.5
  24. 1:12
  25. 14.5
  26. 123.5
  27. 228
  28. 9:25
  29. 342
  30. 11:02
  31. 1:20
  32. 4:16
  33. 51
  34. 52
  35. 137.5
  36. 4:06
  37. 130
  38. 115
  39. 4:31
  40. 58

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