Math practice for 13 year olds - page 112 of 432
Number of problems found: 8632
- Perimeter 67934
The length of the rectangle is (x + 5y - 2), and its width is (x + 2) smaller than the length. Express the perimeter of the rectangle by variables. - Transported 67924
On Thursday, 240 skiers had to be transported, and two buses took 30 minutes to do so. If there were 660 skiers on the piste and three buses were used, how long did the transport take on Saturday? - Mr. Fish
Mr. Fish paid 1,080 CZK for the purchase of three Christmas carpets. The difference in weights (in this order) between the first and second carp and between the second and third carp was exactly 80 dag. The price of 1 kg of live carp was 120 CZK. a) Calcu - Mr. Filip
Mr. Filip is preparing to reconstruct a garden. He will divide its area into herb, vegetable, and ornamental parts in the ratio 2 : 3 : 5 (in this order). The area of the herb part will be 4m x 2.5 m. a) Calculate in m² the total area of the reconstru - Calculate 67864
The price of one piece of goods is 450 CZK, and the price of transport is 90 CZK. They paid Svoboda a total of CZK 10,440 for the shipment. Calculate how many pieces of goods they ordered Svoboda. - Calculate 67814
Two workers work in a workshop to produce the same product. The first worker worked 184 hours per month and produced 656 pieces of the product. The second worker worked 177 hours per month and produced 830 pieces of products. Calculate the hourly output o - Isosceles 67744
Two isosceles triangles have the same angle at the vertex opposite the base. The first one has a base of 12 cm and a leg of 9 cm. The other has a 16 cm long base. Calculate the perimeter of the second triangle.
- Measuring 67734
The candle is shaped like a block measuring 3 cm, 4 cm, and 5 cm. If we gradually enlarge one, two, and all three edges twice, how many times is more wax used to make a candle? - Corresponding 67714
The quadrilateral prism has a volume of 720 cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Relative motion
The boat moves along the river at a speed of v1 = 5km/h and upstream v2 = 2km/h What is the current P's and boat L's speed relative to the water? - Completely 67674
A) Can the maximum number of sugar cubes with a volume of 3375 cubic mm fit in a new cube-shaped sugar bowl with internal dimensions of 12 cm, 6 cm, and 3 cm? B) Mom poured sugar cubes into the new sugar bowl, filling it completely. She estimated that the - Rectangular 67604
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur - Peter 67584
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now? - Length = 3 width The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid?
- Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?
- Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume? - Probability 67544
Anna has four different colored pullovers and three different colored skirts. What is the probability that she will have a red pullover and a blue skirt in a random dress if we know that she has them in her wardrobe? - Triangle 67504
Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 ° - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Four-digit 67444
Emil forgot the PIN for his payment card. It knows that it is four-digit, starts with 1, ends with 2, and does not repeat digits; its digit sum is 15. How many such codes are there? List all the options.
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