Themes, topics - practice for 13 year olds
Number of problems found: 1570
- A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - The restaurant
The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office? - A picture crop
Mr. Paul has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced. - Hoverboard
Adam lives in Podhradí, and his friend Marcel lives in Lhota. Lhota is 6 km from Podhradí. Adam travels the same distance on a hoverboard in 20 minutes as Marcel does in 25 minutes. They leave home simultaneously, drive towards each other, and meet in pre
- Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together? - It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km? - Solution mg/ml
If 70 ml of solution contains 280mg of drug, how many milligrams of drugs are in 50 ml of solution? - A ship 2
A ship runs at 15 1/2 knots (pls convert to nautical miles per hour) for 3 1/2 hours. How far does the ship travel? - RST triangle
Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm
- A two 2
A two-wheeler covers 68.9 km in one liter of petrol. How much distance will it cover in 10 liters of petrol? - A biker
A biker traveled from city A to city B via city C with a uniform speed of 52 km/h. He then returned directly to city A with a uniform speed of 89 km/h. Find, in minutes, the total time of his whole journey to two decimal places. City distance A from B is - Logical and
At a football game, 8/15 of the fans wore team T-shirts. Of those wearing team T-shirts, 1/4 also wore team hats. What fraction game wore both a team T-shirt and a team hat? - Ekene and Amina
The probability that Ekene will be alive in 5 years' time is 3/4, and the probability that his wife Amina will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time: a) both of them will be alive b) only Ekene will be alive - Feed rate
The feed rate of a drill is the distance it advances with each revolution. If a drill makes 320 rpm and drills a hole 2.625 inches deep in 1.8 minutes, what is the feed rate?
- The temperature 47
The temperature in a garden at midnight was −3 degrees Celsius. By 6 AM, the temperature was −8 degrees Celsius. What is the difference in the temperature? - 2-cycle
2-cycle engines require a mixture of oil and gas to run properly. For every gallon of gas, a certain 2-cycle engine requires 1 1/4 fl oz of oil. How much oil must be added to prepare 3 1/2 gallons of gas to get the proper mixture? - A car 8
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it? - Balloon
If a ceiling balloon rises at 120 m (about 400 ft) each minute, what is the ceiling of an overcast deck of stratus clouds 1500 m (about 5000 ft) thick if the balloon disappears into the clouds in 5 minutes? Show your solution. - The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
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