Math practice for 13 year olds - page 243 of 425

Number of problems found: 8487

Circumference 8137
One side of the rectangle is 8 cm long. When we enlarge the dimensions of this rectangle four times, we get a rectangle with a circumference of exactly 1m. How many mm does the other side of the unmagnified rectangle measure?
Rectangular garden
Divide a square garden with a perimeter of 124 m into two rectangular gardens, with the fence of one garden 10 m longer than the fence of the other. What dimensions will these rectangular gardens be?
Determine 8134
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides.
Six percents
6% of the base is 21. How much is 28% of this base?
Remainder 8124
The sum of the numbers is 878. If we divide the larger number by the smaller one, we get a ratio of 6 with the remainder of 17. What are the numbers?
Sand castle
Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, and its lowest point was 20 cm above the ground. How high was the sand castle?
The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid.
Quadrilateral 8120
If the pyramid's height is 4 cm and the base area is 16 cm², include the side edge length of a regular quadrilateral pyramid.
Original price2
The product was reduced by 10% and then by another 8%. What was the original price if it now costs 13248 CZK? What percentage of the original price is a discount?
Initial price
The price of the T-shirt was initially 379 CZK, but it was reduced by 16%. How much does it cost now?
Percentage increase
Increase the number 400 by 3.5%
Determine 8115
The number of blue and green candies is 5:6. and The number of red and green candies is 3:8. Determine the ratio of red and blue candies.
Reducing 8114
By reducing the unknown number by 342, you get 81% of the unknown number. Find this number.
Received 8112
Matej, Simon, and Peter shared a profit in the ratio of 3:4:5. How much did they win in total if Matej received CZK 1,520?
The treasury
Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have?
Quadrilateral 8109
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface.
The sponsor
The school received money from the sponsor. She used one-third to buy computers and half of the rest to adjust the gym. It still has 4000 euros left. How many euros did the sponsor donate to the school?
The work
The work was to be done by 150 workers. At the beginning of their work, The company reduced their number by 40, which increased the work time by 5 and 1/3 of the schedule. How long did the work take?
The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to count on about twenty percent waste when cutting and gluing? (The

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