# Modulo - math problems

#### Number of problems found: 15

• Fraction to decimal infinite
Determine which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
• Quarter of an hour
If the clock showed a quarter of an hour more, it would be 10 minutes to 10 hours. How many hours do they show?
• Twos
Vojta started writing the number of this year 2019202020192020 into the workbook. .. And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write?
• Big number
hat is the remainder when dividing number 10 to 47 - 111 by number 9?
• Christmas
Father said: "exactly after 56 hours we will sit down to Christmas Eve table" How was and what time it was when Father said this sentence? The Christmas Eve table they sit down at exactly 6 PM hour.
• Modulo
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
• Grandmother's clocks
Grandmother's clock is late every hour by half a minute. Grandmother set the clock exactly at 8.00 am. How many hours will show after 24 hours?
• Christmas
Exactly after 114 hours, we sit down at the Christmas Eve table. What day and what time it was when Dad said this sentence. At the Christmas Eve table, they sit down exactly at the 18-o'clock (6 PM).
• Remainders
It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
• Sweets
Mom bought box of sweets for their children.Whole package of 137 sweets divided among 5 their children so that each child receives the most and for she remains the least sweets. How many sweets left for mom.
• Clock
How many times a day hands on a clock overlap?
• RWY
Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
• Divisibility
Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
• Date game
Let now is Wednesday. What day is after 248 days? Write the result as a number: 1=Monday, 2=Tuesday, 3=Wednesday, 4=Thursday, 5=Friday, 6=Saturday, 7=Sunday?
• Trio
56 children lined up in groups of three. How many children did not create a trio?

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