Math practice for 13 year olds - page 309 of 413
Number of problems found: 8254
- Scale factor
A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³. What is the scale factor in fraction form? - Sphere surface
Calculate the surface of a sphere whose volume is 33.9 cm cubic. - Sphere balls
Calculate the surface and volume of the sphere if the diameter d = 6.5 dm. - Ball diameter
A men's shot put has a prescribed weight of 7,250 g and is made of iron. How would its diameter change if it were made of lead? The density of iron is 7.8 g/cm³ and the density of lead is 11.3 g/cm³. - Triangle construction
I have to construct a triangle - procedure and solution side a = 7 cm angle β = 40 median to side c: tc = 5 cm - Worker time
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Strawberry picking
Ten temporary workers collect 50 kg of strawberries per day. How many kilograms of strawberries do seven temporary workers collect per day? - Satisfaction percentage
How many out of 40 women are satisfied? What is the percentage? - Two sisters
Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters? - Subject popularity
In the mini-survey of our class about the popularity of individual subjects, it was shown that 11.1% of pupils like mathematics, 18.5% like languages, 14.8% of pupils like physical education, and the remaining 12 pupils have several favorite subjects. How - Workers
Nine workers dig a 120-meter-long canal in eight hours. How long would it take five workers to dig a 200-meter-long canal? - Tank capacity
How many hectoliters of water can fit in a block-shaped tank with dimensions 24 m, 15 m, and 2 m deep? How many hectoliters of water must be drained so that the depth in the tank is only 15 dm? If the tank is full, how much water must be drained so that t - Cast iron cube
What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg? - Pool volume
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol - Brick wall
A garden 70 m long and 48 m wide should surround by a wall 2.1 meters high and 30 cm thick. The bricklayer will build a wall on the garden ground. How many will we need if 300 bricks are required for approximately one m³? - Tank filling time
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour? - Garden watering
Thirty watering cans of 8 liters of water are brought to the rectangular garden measuring 15 m and 10 m. During the rain, 2 mm of water fell on the garden. When was the flowerbed more watered? - Pyramid Z8–I–6
Each brick of the pyramid contains one number. Whenever possible, the number in each brick is the lowest common multiple of two numbers of bricks lying directly above it. May that number be in the lowest brick? Determine all possibilities. - Distances
A boy is rowing a boat at a speed of 7.2 km/h. He directed the boat perpendicularly toward the opposite bank, which is 600 m away. The river carries the boat at a speed of 4.0 km/h. What is the resulting speed of the boat relative to the bank? How far wil - Can and pate cost
Mom bought one tin of beef and two pies for dinner. She paid a total of CZK 41 for it. Another lady bought two canned beef and five pates and paid CZK 88. How many kroner does a preserve cost, and how much pate?
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