Math practice for 13 year olds - page 268 of 422
Number of problems found: 8427
- Swimming 6649
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute. - Triangles 6647
For triangles ABC and A'B'C': alpha = alpha with a line, beta with line = beta. a) are these triangles identical? Why? b) are these triangles similar? Why? - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Supposed 6641
The snail is supposed to climb a 5 meter high wall. It rises 3 meters every day, but at night, it falls 2 meters down. How many days will it climb the wall? - Complete 6639
Complete the number series with another number, which is 150 on average: 43 69 87 125 197 211 298 - Cylindrical 6636
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - Calculate 6635 Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm
- Ditch
The ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth. - Solve: 6632
For n ϵ N solve: 100 = (0.01n)² - Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular to each other. - Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Simplify 2
Simplify expression: 5ab-7+3ba-9 - Determine 6621
1) The function f is given: y = I 2-x I + 2. Determine the values of the function in points, i.e., F (-2), f (0), f (1), f (4,8). - Divisors 6619
Which natural number less than 100 has the largest number of divisors? - 15 teachers
Fifteen teachers teach for a combined amount of 128 days over 64 days. What is this expressed as a percentage? - Divisible 6615
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Sitting 6612
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
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