Math practice for 13 year olds - page 315 of 413
Number of problems found: 8254
- Potatoes
Danielle and Michael would jointly dig potatoes for 7.5 hours. But if Danielle was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how long Michael would take alone and how long Danielle would take alone. - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll - The swing
Two girls are on a seesaw. Anna weighs 45 kg and Simone weighs 35 kg. How far from the pivot should Simone sit for the seesaw to be balanced, given that Anna sits 1.5 m from the pivot? How far apart are the girls sitting? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Flag percentage
What percentage does the white color on the Czech flag occupy? - MO SK/CZ Z9–I–3
John had a ball that rolled into a pool and floated on the water. Its highest point was 2 cm above the surface. The diameter of the circle where the ball met the water surface was 8 cm. Find the diameter of John's ball. - Construction budget
By improving the work process, constructing a family house saved CZK 111,600, which was 9% of the total budget. What was the original budget for a family house? - Triangle construction
Construct a triangle ABC, given the lengths of the sides: c = 8 cm, a = 5 cm and height length hc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Summands
Find two summands of the number 42 so that its product is minimized. - Installation team
The team of installers is to carry out the installation in 20 days. By adding two fitters from the beginning of the work, the assembly was completed in 15 days. How many workers were originally on the team? - Consecutive numbers
The sum of four consecutive natural numbers is 90. Determine these numbers. - Number puzzle
Which number increased by its seventh will give 32? - Bouquet arrangements
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Fertilizer weight
Fertilizer for gardeners contains the following trace elements: bor. ... ..minimum 0.3promile weight. What is the smallest weight of each trace element in a five-kilogram fertilizer package? - Cruise liner
The cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes and 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of a cruise liner? - Pumps
Five pumps pumped 1,800 hl of water for 3 hours. How many hectoliters of water did the same two powerful pumps pump for six hours? - Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir: "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." W - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m
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