Math practice for 13 year olds - page 284 of 420
Number of problems found: 8399
- Perimeter triangle
In the triangle ABC, there is a side c = 5 cm and medians ta = 6 cm (median to side a), tb = 4.5 cm (median to side b). Find the perimeter of the triangle ABT (T = center of gravity). - Tank filling
The tank is filled in 1 hour and 12 minutes with a pump with a capacity of 25 l/s. How long does filling the tank with a 20 l / s pump take? - Water Tank Empty Weight
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr - Package Weight Total Kilograms
The courier brought four packages to the company that weighed 3.5 kg, 2 1/5 kg, 3/4 kg, and 250 g. How much did all the packages weigh together? Give the result in kilograms and write it as a decimal number. - Cost of Granite Pedestals
The owners of the ornamental garden decided to beautify the entrance to the garden with two granite plinths composed of a prism and a sphere. The sphere has a diameter of 56 cm; the prism has dimensions of 60 cm, 60 cm, and 150 cm. How much will the owner - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Beet Yield Per Hectare
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²? - Apple crate weight
The crate with apples weighs x kilograms. Empty box y kilograms. How many kilograms of apples are in 20 crates? - Five pumps
The water tank is filled with two pumps in 48 minutes. How long would it take to fill it with five same pumps? - Meat loses
Meat loses 18% of its weight by smoking. How much raw meat does the butcher use to manufacture 35 kilos of smoked meat? - Construct
Construct a rhombus ABCD if diagonal AC is 6 cm long and diagonal BD is 8 cm long. - Olda wanted
Oldrich wanted to enlarge the 9 cm x 13 cm photo so that the shorter side measured 18 cm. How big will the longer side of the photo be? - Father and son
When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she? - Logical number sequence
The numbers are arranged according to a specific logical order. What number should be in the blank a, b? 3, 7, 15, a, 63, 127, b - Twelve
Twelve students work on a week forestry brigade. One hundred spruces will receive x CZK, one hundred pine y CZK. How many receive each student in one day if they planted a total of 25,000 spruces per week and 30,000 pine trees? Express by expression. - Subsets
How many 19 element subsets can be made from the 26 element set? - Original price
The dress was reduced by 20% and, after another six months, by another 5%. It now costs 38 EUR. What was the original price of the dress? - Pupils' exercise
On part of the school playground there are embedded markers. Neighbouring markers are 60 cm apart from each other and form a square grid. The teacher said: line up on the markers in rows of three. Change places into rows of four. Stand in rows of six. We - Galactophone
Grandma Šebestová decided to pass on her secret recipe for gingerbread spice to her 10 grandchildren. And since she is a great trickster, she decided to make it a bit more complicated for them. To each grandchild she sent an old-fashioned paper letter wit - Expression sum calculation
The expressions A = 8x + 17, B = -12x-12, C = 9x-10 are given. Two-fifths of the sum of expressions A, B, and C are equal ...
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