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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 278 · 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 2:03? (in degrees) =
  2. 2.A clock shows 1:46. What time will it show 139 minutes later? (a) 4:15 (b) 5:05 (c) 3:55 (d) 4:05
  3. 3.A clock shows 7:02. What time will it show 84 minutes later? (a) 8:16 (b) 9:26 (c) 8:26 (d) 8:36
  4. 4.How many degrees does the minute hand of a clock turn in 14 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 170 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 74 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 96 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  11. 11.A clock shows 4:20. What time will it show 83 minutes later? (a) 5:33 (b) 5:43 (c) 5:53 (d) 6:43
  12. 12.A clock shows 11:14. What time will it show 140 minutes later? (a) 1:24 (b) 1:44 (c) 2:34 (d) 1:34
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  14. 14.A clock shows 8:29. What time will it show 52 minutes later? (a) 10:21 (b) 9:21 (c) 9:31 (d) 9:11
  15. 15.How many degrees does the hour hand of a clock turn in 60 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 174 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  20. 20.A clock shows 10:35. What time will it show 146 minutes later? (a) 2:01 (b) 12:51 (c) 1:01 (d) 1:11
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  22. 22.A clock shows 6:43. What time will it show 128 minutes later? (a) 9:01 (b) 8:51 (c) 8:41 (d) 9:51
  23. 23.How many degrees does the hour hand of a clock turn in 99 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  25. 25.A clock shows 11:13. What time will it show 143 minutes later? (a) 1:36 (b) 1:26 (c) 1:46 (d) 2:36
  26. 26.How many degrees does the minute hand of a clock turn in 40 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 19 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 17 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 47 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  32. 32.A clock shows 3:18. What time will it show 127 minutes later? (a) 6:25 (b) 5:35 (c) 5:25 (d) 5:15
  33. 33.A clock shows 5:18. What time will it show 25 minutes later? (a) 5:53 (b) 6:43 (c) 5:43 (d) 5:33
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  35. 35.A clock shows 8:57. What time will it show 50 minutes later? (a) 9:57 (b) 9:37 (c) 9:47 (d) 10:47
  36. 36.A clock shows 9:59. What time will it show 146 minutes later? (a) 1:25 (b) 12:35 (c) 12:25 (d) 12:15
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 87 minutes? =
  39. 39.A clock shows 2:25. What time will it show 41 minutes later? (a) 2:56 (b) 3:16 (c) 4:06 (d) 3:06
  40. 40.A clock shows 5:21. What time will it show 12 minutes later? (a) 6:33 (b) 5:33 (c) 5:43 (d) 5:23

Answer key

  1. 43.5
  2. 4:05
  3. 8:26
  4. 84
  5. 37
  6. 85
  7. 37
  8. 48
  9. 91.5
  10. 35
  11. 5:43
  12. 1:34
  13. 81.5
  14. 9:21
  15. 30
  16. 158.5
  17. 122.5
  18. 87
  19. 133
  20. 1:01
  21. 154
  22. 8:51
  23. 49.5
  24. 26.5
  25. 1:36
  26. 240
  27. 17
  28. 9.5
  29. 102
  30. 23.5
  31. 133
  32. 5:25
  33. 5:43
  34. 17.5
  35. 9:47
  36. 12:25
  37. 96.5
  38. 43.5
  39. 3:06
  40. 5:33

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