# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1301

• Tickets 3
A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?
• Warmer weather
This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer?
• Melting point
The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?
• Voting
400 employees cast their votes in a board member election that has only 2 candidates. 120 people vote for candidate A, while half of the remaining voters abstain. How many votes does candidate B receive?
• One kilogram
The apple weighs 125 grams and half apple. How many apples weigh 1 kilogram?
• Rectangles
How many different rectangles with sides integers (in mm) have a circumference exactly 1000 cm? (a rectangle with sides of 50cm and 450cm is considered to be the same as a rectangle with sides of 450cm and 50cm)
• One-third 2
One-third of the people in a barangay petitioned the council to allow them to plant in vacant lots and another 1/5 of the people petitioned to have a regular garbage collection. What FRACTION of the barangay population made the petition?
• Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
• School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
• Land area 2
A land area was divided among the three heirs in the ratio 5:2:4. If the largest share was 20 hectares of land, what is the total area of land? Please show your solution and what kind of proportion is this please
• Brother and sister
When I was 8, my sister was 4, now I am 18, how old is my sister?
• Balance of account
Theo had a balance of -\$4 in his savings account. After making a deposit, he has \$25 in his account. What is the overall change to his account?
• House numbering
The residential house has three entrances numbered even numbers, successive immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers.
• Benches
The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
• The excavation
The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil, if they loaded an average of 4.5 m of cubic soil on each journe
• Mixed2improper
Write the mixed number as an improper fraction. 166 2/3
• The temperature 8
The temperature on Monday was –6°C. On Tuesday the temperature was 3 degrees lower. Write down the temperature on Tuesday.
• A plasticine
Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?
• Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
• Temperature 5
Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?

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