# Per mil practice problems

One per mill means one-thousandth of a whole. A per mill is one thousandth. A per mill is a tenth of a percent, which is a tenth of hundredth of a whole. A per mill has the mark ‰, while three zeros in the mark mean three zeros from the number 1000. A per mill is a mathematical term, but in everyday speech, especially in slang, it also means checking the amount of alcohol in the blood, measured in parts per million. For example, how many parts per million did you blow? Measuring alcohol in the blood/breath actually means how many thousandths of the blood volume a person has alcohol. Then we can say, for example, 1.0 per thousand: mild intoxication. That mean they measured 1 ml of alcohol in a liter of human blood.We recognize money per mill, weight per mill, volume per mill, and per mill from any other physical quantity. Another correct words for this term are: per mil, per mill, permil, permill, permille.

Direction: Solve each problem carefully and show your solution in each item.

#### Number of problems found: 77

- The bicycle

The bicycle runs 30 mph for 20 minutes. How far it goes? - A car miles

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? - Kilometers 81387

Calculate the gradient of the railway line, which has an elevation of 22.5 meters in a section of 1.5 kilometers. For railways, the result is given in h (per mille). - Mountain climbing

Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x?

- Kilometers 73344

How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Unknown 73244

75 per mille of an unknown number equals 60. What is an unknown number? - Calculate 73024

Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Calculate 72994

Calculate 50 per mille of 340. - Installment 62884

It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 permille per day. What debt will be incurred at the end of the year?

- Brian 2

Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed? - A plane

A plane is flying at the rate of 350 mph. After an eight-hour flight is at its destination, how far did the plane fly? - Calculate 39313

The road rises by 8 m to 2000 m. Calculate its ascent in per mille. - The amphitheater

The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which of the spectators, P, Q, R, S, T, sees the stage at the greatest viewing angle? - Including 37251

The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty?

- Invoiced 37073

The company paid a penalty of 7.5 ‰ for the late invoice payment. How big was the invoiced amount when the company had to pay a fine of 3441 CZK? - Bracelet

The silver bracelet weighs 62g and contains 59g of silver. What is the purity of the bracelet? - Contains 36193

The silver bracelet with a purity of 925 per mille contains 25.9 g of silver. What is the weight of the bracelet? - Connecting 29841

There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities? - Decimal 26301

Write the per mille as a decimal number 2 ‰ 50 ‰ 2.5 ‰ 0.6 ‰

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