Math practice for 13 year olds - page 118 of 414
Number of problems found: 8262
- A fan
A fan with a resistance of 20 Ω is connected to a power supply. The current flowing through the circuit is 2.5 A. What is the voltage of the power supply? - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities? - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - The noon-time
The noon-time temperature was 29 °F. It was 4 °F lower than predicted. Write and solve an equation to determine the predicted noon-time temperature. - Box cardboard material
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin - Beef burger resources
In the meat atlas published by the Jindřich Boll Foundation, it is stated that one kilogram of meat requires 6.5 kg of grain, 36 kg of feed mixture, and 15 cubic meters of water. Laura's slice of beef in the burger weighed 45 grams raw. How many kilograms - Consecutive number groups
Determine the group of numbers for which the following relations hold: a) The sum of the searched three consecutive even numbers equals 978. b) The sum of the searched four consecutive odd numbers equals 312. - Businessman goods profit
The businessman sells the goods for 28 €, bought in a warehouse for 20 euros. What is his profit? - Janka Katka meeting
Jane and Kate live in villages 16 km away. They agreed to meet precisely halfway. Jane was driving at a speed of 4 km/h. Kate came out 30 minutes later. At what speed must Kate drive to fulfill the agreement? - Clearance - vacation
The Sobotka family checked their suitcases before leaving on holiday. Their four suitcases had weights in the ratio 3:4:5:8. The total weight of all four suitcases was 60 kg. The maximum allowed weight per piece of luggage is 25 kg. a) Calculate the weigh - Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point - Orange workshop workers
Thirty-two tons of oranges are processed in eight workshops with 40 employees each. How many workers process 9 tons of oranges in 9 workshops? - Worker plan percentage
The daily production quota is 530 components. A worker's actual production was 659 pieces. Calculate to what percentage the worker fulfilled the plan. - Typist page speed
The typist typed 20 pages of text in 2 hours and 40 minutes. How many pages of text would she write at the same writing speed in 20 minutes? - Perimeter - width and length
The length of the rectangle is (x + 5y - 2), and its width is (x + 2) smaller than the length. Express the perimeter of the rectangle by variables. - Two buses
On Thursday, 240 skiers had to be transported, and two buses took 30 minutes to do so. If there were 660 skiers on the piste and three buses were used, how long did the transport take on Saturday? - Mr. Fish
Mr. Fish paid 1,080 CZK for three Christmas carp. The difference in weight between the first and second carp, and between the second and third carp, was exactly 80 dag in each case. The price of 1 kg of live carp was 120 CZK. a) Calculate the weight of ea - From peanuts
From peanuts priced at 160 CZK/kg and almonds priced at 200 CZK/kg, 20 kg of a nut mixture priced at 190 CZK/kg is to be prepared. The price of the mixture is determined by the ratio in which the nuts are mixed. a) Determine how many kilograms of each typ - Mr. Filip
Mr. Philip is preparing to renovate a garden. He will divide its area into herb, vegetable, and ornamental sections in the ratio 2:3:5 (in this order). The area of the herb section will be 4 m × 2.5 m. a) Calculate the total area of the renovated garden i
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