Math practice for 13 year olds - page 133 of 434
Number of problems found: 8662
- Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment?
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- The number - digits
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use?
- Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together.
- Adult
Adult tickets for a puppet show sell at P125.05 and children at P99.35. If 25 parents and 70 children watched that show, how much did the show earn?
- Two expressions
When x = 3 and y = 5, how much does the value of 3x² – 2y exceed the value of 2x² – 3y?
- One-quarter 58883
The workers dug one-quarter of the excavation on the first day, half the rest on the second day, and the remaining 15 m on the third day. How many meters did they dig on the first and second day?
- Legislation 58863
To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation.
- Three in ratio
1/8 of the balls in a bag are red, 5/8 are blue, and the rest are green. Find the ratio of red to blue to green balls.
- Silvia
Silvia is 20% lighter than Katy. What percentage is Katy heavier?
- Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr
- The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey.
- Contribution 58773
How much does the apartment owner contribute when the contribution corresponds to his contribution to the common parts, and the share is 99.5/5674.8 out of the amount of CZK 10,000?
- Mary solved
Mary solved six out of ten problems correctly in mathematics. What is the ratio of the number of correct answers to the number of wrong answers? Show the solution.
- Martin 58723
Jakub and Martin have a total of CZK 950. Jakub has a tenth less than Martin. How much CZK does Jakub have?
- A discount
A discount clothing store sells a $72 sport jacket for $24 off the regular price. What is the discount rate?
- Percentage 58703
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy?
- ABS triangle
Point S is the center of the square ABCD. The ABS triangle has an area of 9 cm². What is the circumference of the square in cm?
- Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³.
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