Math practice for 13 year olds - page 253 of 424
Number of problems found: 8480
- Housekeeper 7695
At six o'clock, the housekeeper will start cutting his bow, which will take 12 hours. Two sons come to help him in an hour, and they will be together in 3 hours. How much would it take for just two sons to mow the bow?
- Decorations 7693
Petra was preparing a pudding cup to celebrate the holiday. It had four types of pudding, five types of fruit, and two types of decorations. How many different glasses could she prepare with one pudding, one fruit, and one garnish?
- Distance 7692
On a map with a scale of 1:48 000, the distance between cities is 40mm. What is the actual length of cities in km?
- Simultaneously 7690
Two ships sailed in the same direction from the two ports simultaneously. The first boat is 20 km/hour, and the second 26 km/hour. The second caught up with the first in 4 hours. What is the distance between ports?
- Constant 7689
From cities A and B, two cars drive opposite each other on the same road. The first runs at a constant speed of 80 km/h, and the second at 60 km/h. How far will these cars be a quarter of an hour before the match?
- Circumference - increase
If we increase the length of the side of the square by one-third, the circumference of the square will increase by 18 cm. Calculate the length of the side of the square.
- Performance 7682
They produced 8,892 cans in the production hall. Their performance is in the ratio 11:12:13. Which workshop was the hardest, and how many cans did it make?
- Father and daughter
When I was 11, my father was 35 years old. Now, my father is three times older than me. How old is she?
- Tributaries 7678
We filled the pool with two tributaries: the first in 5 hours and the second in 8 hours. The father came and drained 1/8 of the water. How long before the pool fills with both tributaries?
- Granules
Katy had two dogs. The first one ate a pack of granules a week, and the other two times longer. Katka bought them two bags of granules. How long does it last for both dogs?
- Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles?
- Circumference 7669
The rectangular field is 2a meters long and a-2 meters wide. Calculate the field circumference.
- Transport 7668
The coupon allows you to travel by public transport with a 20% discount cost of 300 CZK. If the ticket costs CZK 20, how often do we have to go after buying coupons so we don't lose out on buying coupons?
- Prepare 7666
We want to prepare 200g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need?
- Minutes 7660
The mile came from point A at 13 hours at a speed of 4 km/h. At 3.30 PM, Líba rode her at a speed of 20 km/h. How many minutes will Líba catch up with Milo?
- Five inlets
The tank can be filled with five equally powerful inlets. If four inlets fill the tank, it takes 30 minutes to fill one-third of the tank. How many minutes does it take to fill an empty tank if it is filled with all five inlets?
- Miss competition
How many girls took part in the Miss School competition if the nines grade made up half of the contestants, two-thirds of the remaining girls were from eighth grade, and the seventh grade were three?
- Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup?
- Rectangular 7647
There are 140 liters of water in a rectangular aquarium with 800 mm and 50 cm base dimensions. How high in cm does the water level reach? What is the area in dm² of the inner walls of this aquarium up to the water level?
- Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen?
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