Math practice for 13 year olds - page 274 of 428
Number of problems found: 8552
- Similar Triangle Construction
KLM triangle on sides k = 5.4 cm. L = 6 cm, m = 6.6 cm. Construct a triangle K 'L'M 'for which the following holds: ∆KLM ~ ∆K 'L'M' and m '= 9.9cm - Percentages - students
There are 800 pupils at the school, of which 375 are girls. What percentage of the total number of pupils are girls and boys? Round results to two decimal places. - Lampshade
The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when 10% is waste? - Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Filling a Swimming Pool
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. - Triangle Similarity Identity
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? - Snail Climbing Wall Days
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? - Number series completion
Complete the number series with another number, which is 150 on average: 43 69 87 125 197 211 298 - Container height
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 - Cylinder Base Radius 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 Exponential Equation
For n ϵ N solve: 100 = (0.01n)² - Ice Cube Edge Length
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. - Prism volume
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 - Natural Number with Divisors
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 numbers
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?
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