Maths practice for 14 year olds - page 204 of 361
Number of problems found: 7217
- Wallet note distribution
Mr. Smith had one hundred and fifty euro bills in his wallet. There were 21 in total, and their total value was 1550 euros. How many hundred-euro and how many fifty-euro notes did Mr. Smith have in his wallet? - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought? - Trip distance calculation
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
A body launched vertically upward returns to its starting point after 6 seconds. What maximum height did it reach? - 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 - Cakes on plates
Mother arranged cakes on two plates. On both there was the same number of cakes. Jarda ate 5 cakes from the first plate and then took 3 more from the second plate. Emilka then from the plate with the greater number of cakes took a third of the cakes and p - Plane flight distance
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 - Number sum division
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? - 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. - Pyramid Side Edge Length
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% - 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? - Pyramid Height Surface Area 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 '| = 1.2 m, | PP '| = 36 m, | JT '| = 5 m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from th - 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 allow for approximately twenty percent waste when cutting and glui - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.
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