Math practice for 13 year olds - page 312 of 420
Number of problems found: 8400
- 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? - Dimensions of the frame
The picture frame is made of a 6 cm wide bar. The dimensions of the image are 74 and 57 cm. Are the inner and outer edges of the frame two similar rectangles? - 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? - Prism
Calculate the height of a prism with a total surface area of 448.88 dm² and a square base with a side of 6.2 dm. What is its volume in hectolitres? - 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? - Four sided prism Calculate the volume and surface area of a regular quadrilateral prism whose height is 28.6 cm, and the diagonal body forms a 50-degree angle with the base plane.
- Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40 mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM? - 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. - Block measurements
The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, and the circumference of the BCGF wall is 12.4 cm. Calculate the block's area and volume. - Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) The perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm.
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