Maths practice for 14 year olds - page 206 of 371
Number of problems found: 7417
- Kilometers 8138
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day?
- 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?
- Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have?
- Determine 8134
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides.
- Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are
- Measurements 8129
The plane flies at an altitude of 22.5 km to the observatory. At the time of the first measurement, it was seen at an elevation angle of 28° and during the second measurement at an elevation angle of 50°. Calculate the distance it flies between these two
- 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?
- Dromedaries
The zoo has ten camels, including bipedal camels (drabers) and single-humped camels (dromedaries). They have a total of 14 humps. Determine the number of auctioneers in the ZOO.
- 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?
- Percentage increase
Increase the number 400 by 3.5%
- Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck
- 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 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?
- Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s
- Three people
Three people start doing work at the same time. The first worked only 2 hours, and the second finished 3 hours before the end. On an individual basis, it would take the first time to do the work 10 hours, the second 12 hours, and the third 15 hours. How m
- The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
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