Maths practice for 12-year-olds - page 315 of 359
Number of problems found: 7168
- The cellar
Mr. Novák has a cellar, and the cellar window in the chalet is a 0.6-meter square window. The window wishes to place an X-shaped grid in a square. He uses iron welded bars. Calculate the lengths of individual bars and the total length of the bars he has t - Money split
Anthony and Frank got 2,500 euros together. The amount was split in a 1:4 ratio. How much did each get? - Dragon altitude
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers. - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Central park in city
A city park is rectangular, 180 m long and 120 m wide. People walk diagonally through the centre from one corner to the opposite corner. How many metres shorter is this path compared to walking along two sides of the perimeter? - Mountain railway
The railway line's height difference between points A and B is 38.5 meters. Their horizontal distance is 3.5 km. Determine the average climb in per mille up the track. - Seeds 2
How many seeds germinated from 1000 pcs when 23% had no emergence? - Hexagon - MO
The picture shows the ABCD square, the EFGD square, and the HIJD rectangle. Points J and G lie on the side CD and are true |DJ| - School books
At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom? - MO 2016 Numerical axis
Cat's school uses a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm, and so on, and the distance between the next pair of natural numbers is al - Archaeologists
Archaeologists found out that the flag of the fabled mathematical kingdom was divided into six fields, as shown in the picture. In reality the flag was tri-coloured and each field was coloured with one colour. The scientists have already discovered that o - Nine balls
Imagine you have nine identical-looking balls, one of which is heavier than the others. You have a balance scale. Describe a procedure to find the heavier ball. What is the minimum number of weighings required? - Expression values
Determine the values of the following expressions: a) 3² - (- 4) b) 4-321 c) -32-7 - Car mileage
The car drove successively 2.5x105 m, 1.4x107 mm, 8.6x107 dm, and finally 3x106 cm. What is the total mileage? - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm. - Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area. - Euros
Michael, Peter, John, and Helen got together 2,400 euros. Do they share an amount in a ratio of 2:6:4:3. How many got each of them? - Divide money
Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10 - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity.
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