Examples for 7th grade (seventh)
- Temperature change
The mean temperature change is -3.2°F per day for five days. What is the total change over the five day period?
- The King
The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
- Four workers
Four workers will lay the floor of the gym in six hours. After an hour of working together, one of the workers left to the doctor. How long before the remaining three workers finish their work?
- Area of rectangle
How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half?
MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
- Midpoint 6
FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
- Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value.
- Find midpoint
FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
- Horizontal distance
The road has a gradient of 8%. How many meters will the road rise on a horizontal distance of 400m?
Fifteen lumberjacks would take 12 days to destroy the broken trees. How many days would this work require if 5 workers added to it after 4 days?
- Calories 2
Ben eats approximately 2400 calories per day. His wife Sarah eats 5/8 as much. How many calories does Sarah eat per day?
- Equivalent fractions
Are these two fractions equivalent -4/9 and 11/15?
- The pot
The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth.
- The cube
The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
- Mixing Celsius and Fahrenheit
Add up three temperatures: 5°F +6°F +0°C
- Inlet minus outlet
Water flows into the tank through two pipes and flows out of the third pipe spontaneously. The pipe A itself would fill the tank in 3 hours, the pipe B itself would fille in 4 hours, and the pipe C itself would flow out in 12 hours. How long will the tank.
- Cube root
For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong?
In the 19th century, bicycles did not have a chain drive, and the pedals were connected directly to the wheel axis. This wheel diameter gradually increased until the so-called high bicycles (velocipedes) with a front wheel diameter of up to 1.5 meters, whi
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?
- Tony works
Tony works as a welder for a construction company. His hourly wage is $15.51 and he works 40 hours per week. Tony gets a paid vacation each year. The construction company is doing well and has plenty of work for the next year. Tony can expect to work the e