Math practice for 13 year olds - page 234 of 428
Number of problems found: 8556
- Two chords
Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center. - Bike ride
Marek rode a bike ride. In an hour, John followed him on the same route by car at an average speed of 72 km/h, and in 20 minutes, he drove him. Will he determine the length Marek took before John caught up with him, and at what speed did Marek drive? - Divide candies
John, George, and Adam shared candies in a ratio of 2:3:1. John received six candies. How many candies did the boys share? - The cylinder 2
Find the volume and the lateral area of a cylinder with a height of 12 inches and a base radius of 4 inches. - Square side length
Calculate the length of the side of a square whose diagonal has a length of 10 m. - Butter fat
A quarter of a kg of butter contains 82% fat. How many grams of fat are in four cubes of butter? - Potato starch content
Potatoes contain 76.1% starch. How much starch does 250g of potatoes contain? - Nickel ball weight
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. If the nickel density is 9000 kg/m3, determine its weight. - Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the contents from the - Water in vegetables
Tomatoes in the store contain 99% water. After being transported to the shop, they were slightly dried and contained only 98% of water. How many kgs of tomatoes are in the store if there were 300 kg in stock?` - Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan - Sports club
A sports club was purchasing new equipment. It bought three identical soccer balls and five identical volleyball balls. It spent a total of 4480 CZK on the balls, with the soccer ball being 320 CZK more expensive than the volleyball. Determine how much th - Pizza
Five friends were together for pizza. Adam divided his pizza into thirds, Boris in quarters, Denis in patina, and Luke in sixth. Then Simon also came to them. Every five boys gave him one piece, leaving him one whole pizza. How many equal parts did Ivan s - Hotel star distribution
There are several hotels in the Sunny Beach resort. Among them are one-, two-, three- and four-star hotels. During the walk, Janka calculated that the sum of all the stars in the resort was 69. More than half of the stars belong to one-star hotels. The nu - Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options. - Wood prisms
How many weigh 25 prisms with dimensions of 8x8x200 cm? 1 cubic meter of wood weighs 800 kg. - Apples and pears
Apples cost 50 cents a piece, pears 60 cents a piece, bananas cheaper than pears. Grandma bought five pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears? - Dividing money
Jane and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does Jane have? - Cube edge ratio
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the area of the wall of the smaller cube to the area of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger cube. - Committee position selection
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman?
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