Math practice for 13 year olds - page 326 of 423
Number of problems found: 8457
- Construction 4130
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?
- Construct 4129
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.
- Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle.
- Traveling 4124
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. What time will the truck catch up?
- Installation 4123
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 were on the team?
- Consecutive 4122
The sum of four consecutive natural numbers is 90. Determine these numbers.
- Increased 4120
Which number increased by its seventh will give 32?
- Dimensions 4118
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area.
- Different 4117
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?
- Five-kilogram 4112
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.
- Total
In one class, 1 student collected an average of 20 kg of paper, in the second class 30 kg, and in the third class 40 kg. How many kilograms of paper did 1 student collect on average for all three classes together, when the second class had the same number
- 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
- Ravens
On two trees sits 17 ravens. If three ravens flew from the first to the second tree and five ravens took off from the second tree, then the first tree has two times more ravens than the second tree. How many ravens were originally on every tree?
- Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%.
- Centimeters 4081
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters.
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