Maths practice for 14 year olds - page 267 of 321
Number of problems found: 6402
- Beginning 2799
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mišo and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou
- Determine 2796
Find the first ten members of the sequence if a11 = 132, d = 7.
- Two-thirds 2786
Two-thirds of girls and half of boys learn Spanish in the classroom. There are twice as many boys in the class as there are girls. What part of the class is learning Spanish?
- Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places.
- December salary
The official had a monthly salary of 8,500 euros. During the year, they increased his salary by 15%, so he received a total of 112,200 euros for a year. From which month did they raise his salary? (1 = January .... 12 = December)
- Afforestation 2777
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted during each day?
- Prism
Find a prism's volume and surface area with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m.
- Horses 2773
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there?
- Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer?
- Two-fifths 2763
Pupils of four grades saved n=45000 crowns together. Of this, the first year saved one-third, the second one-third of the remainder, the third two-fifths of the remainder, and the fourth the remainder. How many crowns did each year save?
- Multiply 2762
Which number is to multiply the number by to get the number: a) 1 b) m
- Hexa prism
Determine the volume of the hex prism with a 4 cm edge base and a 28 cm body height.
- Distinction 2759
There are 500 pupils in the school. At the end of the school year, the principal announced that 20% of the students had received the award. At the same time, 18% of boys and 23% of girls achieved the distinction. Determine how many boys and how many girls
- Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm.
- Multivitamin 2749
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice?
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land.
- Snails
How many liters of water will fit in an aquarium with bottom dimensions of 30 cm and 25 cm and a height of 60 cm if we pour water up to a height of 58 cm? How many snails can we keep in an aquarium if we know that snails need 600 cm³ of water for their li
- Determine 2743
Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has.
- Proportions: 2742
The three siblings' ages are in such proportions: E: J = 5:4, J: P = 3:2. They are a total of 35 years old. How old are Eva, Jožo, and Peter?
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