Maths practice for 12-year-olds - page 56 of 355
Number of problems found: 7087
- Brass copper zinc
Brass is an alloy of copper and zinc in a ratio of 3:2. How much copper and zinc do you need to make 1 kilo of brass? - Car textbook pursuit
At 9 a.m., a truck with textbooks left Brno at a speed of 50 km/h; at 9:30 a.m., a passenger car left Brno with another delivery of textbooks at a speed of 70 km/h. When will the passenger car catch up with the truck? - Train freight meeting
A passenger train will travel from Brno to Bratislava (144km) in 3 hours; a freight train will cover this distance in 4.5 hours. How long will they meet if a passenger train from Brno and a freight train from Bratislava leave simultaneously? How many kilo - Bronze figurine alloy
The bronze figurine weighs 0.5 kg. Bronze is an alloy of tin and copper in a ratio of 1:4. How many grams of copper and how many grams of tin does the statuette contain? - Squirrel acorn supply
A supply of acorns will last a squirrel for 12 weeks and a squirrel for 18 weeks. They ate acorns together for 4 weeks, then the squirrel left. How long did the squirrel have a supply of acorns? - Number sum divisibility
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh - Seedling distance reduction
If you plant seedlings in the bed at a distance of 20 cm, 40 will fit here. How many seedlings will fit here if you reduce the distance between them to 15 cm? - Chain color length
Children in the school club made a tricolor chain from crepe paper. One-eighth of the chain is red, three-quarters is olive, and the remaining 20 cm is blue. What length of chain did they make? - Cake price difference
Mom bought three cakes at the pastry shop. The first cost 72 crowns. The second was a quarter cheaper than the first. The third dessert was a third of the total price of all three desserts. By how many crowns was the third dessert more expensive than the - Kangaroo speed minutes
A kangaroo can move at a speed of 65 km/h. How many minutes will it take to move at this speed to a place 6500 m away? - Pool inflow half
The pool has a maximum water capacity of 1200 hl. How many hours will the pool be half complete if the first inflow is 200 l per minute and the second 100 l per minute? - Bag marble yellow
The bag has 5 red, 7 white, 10 yellow, and 6 black balls. At least how many marbles must be drawn from the bag to ensure that there will be 3 yellow ones among the drawn balls? - Truck sand meeting
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - Train speed calculation The train covers the distance between two stations at a 60 km/h speed in 4.5 hours. How long would the trip take if the train could travel at a speed of 75 km/h?
- Company meadow mowing
The K+S company will mow the meadow in ten hours. The Kosačka company mows the meadow in six hours. How many hours would these companies mow one such meadow if they worked together? - Swing force balance
Dominika and Ninka are in the park. A 48 kg girl sits on the right side of the swing at a distance of 1.9 m from the axis of rotation. Dominika acts on the swing on the left side with a specific force at 2 m from the axis. What force should she exert to k - Clock hand angle
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Force moment calculation Calculate the moment of force if F = 500 N and the arm's length is 0.8m. Unit N.m
- Crane counterweight weight What is the weight of the counterweight of a crane that lifts a 20 t weight? The arm's length is 15 m, and the arm's length with the counterweight is 10 m. Write the answer in tons.
- Swing boy distance An 8-meter-long swing is supported at the center. A 30 kg boy is sitting at one end. How far from the axis of rotation on the other side of the swing must the second boy of mass 40 kg sit?
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