# Problems for 7th grade (seventh)

- Two gears

The two gears fit together. The larger gear has 32 teeth, the smaller has 20 teeth less. How many times does turn a smaller gear if the bigger gear turns three times? - Three segments

The circle is divided into 3 segments. Segment A occupies 1/4 of the area, segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C? - A company

A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the hight of the cylinder must be 5 times the radius. - Solid food

Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of - Reminder and quotient

There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1. - Car crash

After a traffic accident, police measured 1.16 permille of alcohol in the driver's blood. What amount of alcohol did the driver have in the blood when about 5 kg of blood circulates in the human body? - Caleb

Caleb is making lemonade for a party. He has 5 gallons of lemonade. He is putting 1/3 cubic inch of lemonade in a cup for each guest. How many guests are going to be at the party? - Inquality

Solve inequality: 3x + 6 > 14 - Milo lifted

Milo lifted 65 lb 6 times and Jeremy lifted 50 lb 9 times. Which one lifted the most weight? - Divide 5

Divide 288 in the following ratio 3 : 4 : 5 - 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? - Find unknown

Find unknown numerator: 4/8 + _/8 = 1 - Cupcakes 2

Susi has 25 cupcakes. She gives 4/5. How much does she have left? - If the 2

If the temperature is 86 degrees in Fahrenheit, what is the same temperature in Celsius? - 8 degrees

8 degrees Celsius it cools down by 9 degrees Celsius. What is the resultant temperature? - Gasoline price

At 34.4 cents per liter, how much will 42 liters of gasoline cost? - Noontime

In the morning temperature was 110°F. By noontime it has gone up by 15°F. What was the noon temperature. (Give your answer in °F) - Recipe

A recipe requires 2 pounds of flour. If a chef wants to triple the recipe, how many ounces of flour will be needed? - Feet to miles

A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run? - A cylindrical tank

A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?

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