Maths practice for 12-year-olds - page 279 of 304
Number of problems found: 6066
- Ladder 2
The ladder 9.8 meters long is positioned in the well such that its lower end is distanced from the wall of the well 1.2 m. The upper part of the ladder is supported on the upper edge of the well. How high is the well?
- Metal alloy
What is the metal ratio in the alloy in the 50 tonnes of steel to 30 kg nickel?
- Jane
Jane buys gifts together for 464 SKK. She pays 4.5 times less for the tie than for the shirt, but 56 SKK more for the socks. Thus, she pays 464 SKK for each item in the gift.
- Athletes
Athletes are standing in rows of eight. Ivan estimated that there are more than 120, while Peter claimed that there are fewer than 130. Both are right. How many are athletes?
- The farmer field
The field has a parallelogram shape with dimensions side a = 75 m and height 372 m. Two and two sides are at an angle 75°. Calculate the acreage of the field in hectares.
- Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. If each group must all be involved, how many parachutists must jump at least?
- Revenue
Mr. Robert and Mr. Norbert get together € 1400. The revenue split in the ratio of 4:3, depending upon each work. How many got each of them?
- Pocket
Miriam spent on a trip for half-pocket gifts, and for the third remaining money bought a bagel. Six euros left her. How many euros had Miriam in her pocket?
- Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long.
- Bicycle
The bicycle pedal gear has 36 teeth, and the rear gear wheel has 10 teeth. How many times does the rear wheel turn when the pedal wheel turns 120x?
- Scale 3
Miriam's room is 3.2 meters wide. It is drawn by a line segment length of 6.4 cm on the floor plan. On what scale is the plan of the room?
- Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
- Wheels
A small tractor wheel with a diameter of 60 cm must be rotated eight times to overcome some pathways. How many times must you turn the big tractor wheel with a radius of 60 cm to overcome the same distance?
- Mushrooms
For five days, we collected 410 mushrooms. Interestingly, we collected ten mushrooms more every day than the preceding day. How many mushrooms have we collected during the 4th day?
- Divisible by 5
How many three-digit odd numbers are divisible by 5, which is in place of ten's number 3?
- Vacation
Smiths paid a deposit for a vacation of two-sevenths of the total vacation price. They then also paid € 550. How much cost their vacation?
- Three-fifths 1651
Anna bought something for one-third of her savings. She spent three-fifths of the remaining money on her parents' gifts. She has 400 euros left now. How many euros did she save before spending?
- Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depends on the color of the metal.
- Printing pages
The printer prints one page in 4 seconds. However, it warms up for 30 seconds before printing. Express how many seconds it will take to print 84 pages.
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