Clocks & Calendars: Practice Questions with Answers
Angle between clock hands, mirror images, days and leap years. Try each question first: tap an option to check it, and the explanation appears below.
Question 1Easy
Which of these years is a leap year: 1914, 2100, 1952, 1875?
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✅ C. 1952
A year is a leap year if it divides exactly by 4, except century years, which must divide exactly by 400. 1952 divides by 4 and is not a century year, so it is a leap year. 2100 is a century year that does not divide by 400, so it is not a leap year, and the others do not divide by 4.
Question page →Question 2Easy
Which of these years is a leap year: 2009, 2100, 2119, 2052?
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✅ D. 2052
A year is a leap year if it divides exactly by 4, except century years, which must divide exactly by 400. 2052 divides by 4 and is not a century year, so it is a leap year. 2100 is a century year that does not divide by 400, so it is not a leap year, and the others do not divide by 4.
Question page →Question 3Medium
If 11 May of a year is a Monday, what day of the week is 12 July of the same year?
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✅ B. Sunday
Count the days from 11 May to 12 July: 20 more days in May, 30 in June, and 12 in July, so 62 days in all. 62 ÷ 7 leaves a remainder of 6, so move 6 days forward from Monday: Sunday.
Question page →Question 4Medium
If 17 October of a year is a Saturday, what day of the week is 30 December of the same year?
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✅ A. Wednesday
Count the days from 17 October to 30 December: 14 more days in October, 30 in November, and 30 in December, so 74 days in all. 74 ÷ 7 leaves a remainder of 4, so move 4 days forward from Saturday: Wednesday.
Question page →Question 5Medium
What is the smaller angle between the hour hand and the minute hand of a clock at 7:15?
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✅ A. 127.5°
Use angle = |30 × H − 5.5 × M|. Here |30 × 7 − 5.5 × 15| = |210 − 82.5| = 127.5°. The 5.5 accounts for the hour hand moving half a degree every minute.
Question page →Question 6Easy
Which of these years is a leap year: 2129, 1920, 2047, 1700?
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✅ B. 1920
A year is a leap year if it divides exactly by 4, except century years, which must divide exactly by 400. 1920 divides by 4 and is not a century year, so it is a leap year. 1700 is a century year that does not divide by 400, so it is not a leap year, and the others do not divide by 4.
Question page →Question 7Easy
Which of these years is a leap year: 2031, 2300, 1908, 2095?
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✅ C. 1908
A year is a leap year if it divides exactly by 4, except century years, which must divide exactly by 400. 1908 divides by 4 and is not a century year, so it is a leap year. 2300 is a century year that does not divide by 400, so it is not a leap year, and the others do not divide by 4.
Question page →Question 8Medium
What is the smaller angle between the hour hand and the minute hand of a clock at 12:55?
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✅ D. 57.5°
Use angle = |30 × H − 5.5 × M|. Here |30 × 0 − 5.5 × 55| = |0 − 302.5| = 302.5°. That is more than 180°, so the smaller angle is 360° − 302.5° = 57.5°. The 5.5 accounts for the hour hand moving half a degree every minute.
Question page →Question 9Medium
A clock shows 7:44. What time does its mirror image show?
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✅ D. 4:16
For a mirror image, subtract the time from 11:60 (that is, 12:00). 11:60 − 7:44 = 4:16. Check: 7:44 + 4:16 adds up to 12 hours.
Question page →Question 10Medium
If 9 April of a year is a Monday, what day of the week is 2 June of the same year?
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✅ D. Saturday
Count the days from 9 April to 2 June: 21 more days in April, 31 in May, and 2 in June, so 54 days in all. 54 ÷ 7 leaves a remainder of 5, so move 5 days forward from Monday: Saturday.
Question page →Question 11Medium
A clock shows 9:46. What time does its mirror image show?
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✅ D. 2:14
For a mirror image, subtract the time from 11:60 (that is, 12:00). 11:60 − 9:46 = 2:14. Check: 9:46 + 2:14 adds up to 12 hours.
Question page →Question 12Medium
A clock shows 8:37. What time does its mirror image show?
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✅ D. 3:23
For a mirror image, subtract the time from 11:60 (that is, 12:00). 11:60 − 8:37 = 3:23. Check: 8:37 + 3:23 adds up to 12 hours.
Question page →Question 13Easy
Which of these years is a leap year: 1800, 1911, 2128, 1951?
Show answerAnswer
✅ C. 2128
A year is a leap year if it divides exactly by 4, except century years, which must divide exactly by 400. 2128 divides by 4 and is not a century year, so it is a leap year. 1800 is a century year that does not divide by 400, so it is not a leap year, and the others do not divide by 4.
Question page →Question 14Easy
If today is Tuesday, what day of the week will it be after 45 days?
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✅ D. Friday
The days repeat every 7 days. 45 ÷ 7 leaves a remainder of 3, so count 3 days forward from Tuesday: the answer is Friday.
Question page →Question 15Medium
What is the smaller angle between the hour hand and the minute hand of a clock at 5:15?
Show answerAnswer
✅ B. 67.5°
Use angle = |30 × H − 5.5 × M|. Here |30 × 5 − 5.5 × 15| = |150 − 82.5| = 67.5°. The 5.5 accounts for the hour hand moving half a degree every minute.
Question page →Question 16Medium
What is the smaller angle between the hour hand and the minute hand of a clock at 11:24?
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✅ D. 162°
Use angle = |30 × H − 5.5 × M|. Here |30 × 11 − 5.5 × 24| = |330 − 132| = 198°. That is more than 180°, so the smaller angle is 360° − 198° = 162°. The 5.5 accounts for the hour hand moving half a degree every minute.
Question page →Question 17Easy
If today is Saturday, what day of the week will it be after 122 days?
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✅ B. Tuesday
The days repeat every 7 days. 122 ÷ 7 leaves a remainder of 3, so count 3 days forward from Saturday: the answer is Tuesday.
Question page →Question 18Medium
What is the smaller angle between the hour hand and the minute hand of a clock at 2:24?
Show answerAnswer
✅ C. 72°
Use angle = |30 × H − 5.5 × M|. Here |30 × 2 − 5.5 × 24| = |60 − 132| = 72°. The 5.5 accounts for the hour hand moving half a degree every minute.
Question page →Question 19Medium
A clock shows 1:47. What time does its mirror image show?
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✅ B. 10:13
For a mirror image, subtract the time from 11:60 (that is, 12:00). 11:60 − 1:47 = 10:13. Check: 1:47 + 10:13 adds up to 12 hours.
Question page →Question 20Medium
If 19 June of a year is a Tuesday, what day of the week is 23 August of the same year?
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✅ D. Thursday
Count the days from 19 June to 23 August: 11 more days in June, 31 in July, and 23 in August, so 65 days in all. 65 ÷ 7 leaves a remainder of 2, so move 2 days forward from Tuesday: Thursday.
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