Math practice for 13 year olds - page 85 of 435
Number of problems found: 8682
- Electrical 80549
The factory hall is lit by 76 light bulbs, each of which has an input of 200W. Determine how much electrical work will be saved annually if the light is on an average of 100 minutes less per day. Consider 260 business days.
- Determines 80548
Find the map's scale, on which a line segment of 15 cm expresses the actual distance of 435 km between Paris and Bern.
- Segments 80547
AB segment = 14 cm, divide it into two segments whose lengths are in the ratio 4:3.
- Production 80546
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail?
- Bookshop
Ali went to a bookshop. He spent 3/5 of his money on books and 1/4 of it on a pen. What fraction of his money did he spend altogether? What fraction of his money did he have left?
- Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
- Reciprocal 13
What is the product of 5 2/3 and its reciprocal?
- Residents
In a college dormitory, 1/10 of the residents are juniors, and 2/5 of the residents are sophomores. What fraction of the students at the dormitory are juniors and sophomores?
- Musa worked
Musa worked for 44 hours during one five days a week. His hours are from Monday through Thursday: 3 3/4, 6 7/12, 11 5/16, and 6 5/6. Calculate the number of hours he worked on Friday.
- Quotient of two fractions
If the quotient of 8/9 and 1/3 is subtracted from the product of 2 3/4 and 1 3/5, what is the difference? Write the solution as a mixed number or a fraction in the lowest terms.
- For what
For what value of x is -5x+8=-6 a true statement? Write your answer as a decimal.
- Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column?
- Kilograms 80532
75 kg of flour is ground from 100 kilograms of wheat. How much wheat is needed to obtain 135 kg of flour?
- Twenty-five 80531
People must collect twenty-five tons of waste paper to save 160 trees. How many kilograms of paper must be collected to save 32 trees?
- Cake 9
1/3 of a cake costs 3$ and 50 cents. Then how much does the whole cake cost?
- Shani
Shani mixed 1 1/3 cups peanuts, 1 3/4 cups raisins, and 1 1/2 cups chocolate chips to make a trail mix. How many cups of trail mix did she make? Responses
- Osmium wire
A spiral of osmium wire has a resistance of 300 ohms at a temperature of 20 degrees Celsius. To what temperature was the coil heated if its resistance rose to 2940 ohms? (alpha=4*10-3 1/K)
- Coefficient 80516
An aluminum wire has a resistance of 4.25 ohms at 0 degrees. Determine its resistance at a temperature of 200 degrees Celsius. The temperature coefficient of the electrical resistance of aluminum is 4.4·10-3 1/K.
- Coefficient 80515
A tractor pulls a tree trunk weighing 1.5 t for a distance of 2 km along a horizontal road at a constant speed. What mechanical work does it do if the coefficient of sliding friction is 0.6?
- Coefficient 80514
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum
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