# Integers - 5th grade (10y) - problems

1. Dozen
What is the product of 26 and 5? Write the answer in Arabic numeral. Add up the digits. How many of this is in a dozen? Divide #114 by this
2. The temperature
The temperature at 1:00 was 10 F. Between 1:00 and 2:00, the temperature dropped 15F. Between 2:00 and 3:00, the temperature rose 3F. What is the temperature at 3:00?
3. Divisibility
Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
4. Monkey
Monkey fell in 23 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
5. Cats
Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days?
6. Trio
56 children lined up in groups of three. How many children did not create a trio?
7. Mistake
Nicol mistake when calculate in school. Instead of add number 20 subtract it. What is the difference between the result and the right result?
8. Father and son
Father and son are together 80 years. Son is 28 years younger than father. How old is the son?
9. Class
When Pythagoras asked how many students attend the school, said: "Half of the students studying mathematics, 1/4 music, seventh silent and there are three girls at school." How many students had Pythagoras at school?
10. Opposite numbers
Calculate opposite numbers (additive inverse) to given ones:
11. Rounding 2
Round the following negative number: -143.021
12. 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.
13. Thermometer
The thermometer showed -3°C at morning. Then temperature was increased by 1°C again increased by 1°C and then decreased by 1°C and then decreased by 4°C. Which terminal temperature thermometer shows?
14. Integers
May be the sum of two integers less than their difference?
15. Numbers
Find number on thenumber line that has same distance from this numbers:
16. With bracket
Calculate (evaluate) simple mathematical expression with a negative numbers and a bracket: 13+15*5-2*(-6)
17. Value
Determine the value of the following exspressions: a) (23-25)·(4-5) b) (97-123):(18+8)
18. Freezer
Temperature is -8 degrees Celsius in the freezer. Outside temperature is 2 degrees Celsius. One minute took to change temperature by one degree Celsius if we open door. How many minutes the temperature in the freezer will rise?
19. Clotheslines
Mommy needs 6 clothesline 360 cm long. Clotheslines is sold in the length of eight meters. How many of these clotheslines must buy mom if any does not want to be connected? How much mommy pay for the clotheslines when 1 piece costs 24kč?
20. Thermometer
thermometer showed -12 degrees Celsius at the morning then the temperature rises by 4 degrees and later again increased by 2 degrees at the evening has fallen by 5 degrees and then fall 3 degrees. What end temperature does the thermometer show?

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