# Units - examples - page 114

1. Hr to min
Sue biked to school in 5/12 of an hour. How many minutes did it take her to ride to school?
2. A large
A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]
3. Maria
Maria has decided to plant grapes in the garden behind her house. His neighbor Ben has grown grapes successfully for a long time and has given Maria advice on how to plant vines. Ben told her to plant them 3 meters apart in rows that are also 3 meters apar
4. Imagine
Imagine that a unit of air at a temperature of 25°C rises up a mountain range that is 3,000 meters high on the windward side and which descends to 1,200 meters on the leeward side, assuming that the air will remain dry what will its temperature when it cro
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area that is approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana?
6. The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.
7. Medians 2:1
Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from the vertex B? b, Find the distance between T and the side b.
8. Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have?
9. Sand castle
Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, its lowest point 20 cm above the ground. How high was the sand castle?
10. Cylindrical tank 2
If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
11. Laboratory
Mang Elio went to his laboratory at 7:00am And recorded that the temperature was 11.07°C. At lunchtime, the temperature rose by 27.9°C but dropped by 8.05°C at 5:00 PM. What was the temperature at 5:00 PM?
12. 15 teachers
15 teachers teach for a combined amount of 128 days over a period of 64 days. What is this expressed as a percentage?
13. This morning
This morning it was 80 degrees F outside the temperature increased 12 degrees F. What is the temperature now?
14. Price inflation
This year the average wage grew by 4.5%. Prices rose by 2%. How much did the real wage increase in the given year?
15. Effective and mean voltage
A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value is
16. Thomas
Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m and Samko from Robo 500. Anton lives 300 meters away from Robo further as Samko. How far away lives Anton from Rob?
17. Drawer
The rectangular face of a drawer has a perimeter of 108 cm and a width of 18cm. Find the length and the area of the rectangular face of the drawer.
18. On Sunday
On Sunday the temperature reached a high of 38° above 0. That night it dropped to 23° below 0. What is the difference between the high and low temperatures for Sunday?
19. 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)
20. Sandbox
Sandbox has area of 32 sq ft and length of 4 1/2 ft. What is width of sandbox.

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.