Maths practice for 12-year-olds - page 313 of 359
Number of problems found: 7168
- Workers 2
The worker dug the trench for 7 hours, and another worker for 10 hours. They recruited to work even one worker. Digging should be done for 2 hours. For how long would dig the third worker alone? - Lcd3
What is LCD of the equation of x/2 + 1/3=5/2? And what is x? - Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin - Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet? - Money distribution
Anna, Peter, Ralph, Mike, and Thomas shared the amount of 250 euros in the ratio 1:1:1:1:1. Find how much each of them received. - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights. - Two tributaries
Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary? - Brigade
On a weekly forest, the summer job operates 12 students. After plant one hundred spruces, get x CZK, after one hundred pines y CZK. How many CZK got one student for one day if planted spruces 25000 and 30000 pines week? - Cubes
How many cubes with an edge length of 5 cm may fit in the cube with an inner edge of 0.4 m maximally? - Apple purchase
Three classmates bought apples. Peter bought two whole one-thirds of the kg, Spring 5 sixths of a kg less than Peter and Daniel 2 times as much as Peter. How many kilograms of apples did the boys buy together? - Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than an area of a square ABCD with side a: ... - Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter was 28 meters. The garden's area is filled with just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and - Cyclist vs boat
The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the ship will catch up at the next stop. The stop is 12 km far along the water - Truck and car
At 6 h45 min, the truck started at a speed of 36 km/h. At 7 h30 m behind it, a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory. - TV width
The electronics store offers a TV with a diagonal screen of 33 inches; the screen's height (without borders) is 44 cm. How wide is the TV if the edge on each side of the screen is 1.1 cm? - Time calculation
How many seconds will the car cover a distance of 50 meters at a speed of 100 km/h? - Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t - Class students
There are five girls and five more boys in the class. How many students are in the class? - Skier count
On the slope were k=60 skiers. How many adults are on the hill if children are skiing 15? - Decide
The rectangle is divided into seven fields. In each box, write just one of the numbers 1, 2, or 3. Mirek argues that it can be done so that the sum of the two numbers written next to each other is always different. Zuzana (Susan) instead argues that it is
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