Math practice for 13 year olds - page 366 of 424
Number of problems found: 8476
- 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 - Euros
Peter, Jane, and Thomas have €550 together. Thomas has 20 euros more than Jane, and Peter has €150 less than Thomas. Determine how much each of them has. - 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? - Mass
The thickness of a metallic tube is 1 cm, and its outer radius is 11 cm. Find the mass of such a 1 m long tube if the metal density is 7.5 g per cubic cm. - Land areas
Two land areas are 244 m². The first parcel is 40 m² less than twice the second one. What is the acreage of each parcel? - Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det - Volleyball
Eight girls want to play volleyball against boys. A team can have six players on the court at one time. How many different starting teams can the coach choose from these girls? - 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. - Rectangle
The width of the rectangle is 65% of its length, and its perimeter is 132 cm. Determine the dimensions of the rectangle. - Addends
Number 118 is divided into two addends, so the first addend is 69, greater than 75% of the second addend. - Mr. Happy
Mr. Happy planted 36.6 meters of square garden grass; It's a third of the garden, more than half of the garden. What is the square area of this garden? - Three friends
Peter is eight times older than Ralph, and Ralph is three times younger than Joseph. Together they are 120 years old. How old is each of them? - Pumps 5
Five pumps pumped in 3 hours 1800 hl of water. How many hectoliters of water were pumped by four equally powerful pumps in 6 hours? - Work at plant
The handyman vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he sought help. Together, they made all the corrections for 13 1/3 days. How long would the work take the helper himself? - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD. Points J and G lie on side CD, with DJ less than DG, and points H and E lie on side DA, with DH less than DE. We also know that DJ equals GC. Hexagon ABCGFE has a perimeter of 96 cm, hexagon EFG - Unoccupied swallows
The swallows flew in and sat on the benches, one swallow on each bench, while one swallow did not miss an empty bench. If two swallows sat on each bench, one bench would remain unoccupied. How many swallows were there, and how many benches?
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