Maths practice for 14 year olds - page 248 of 371

Number of problems found: 7415

Two melons
There are two melons in the box. Together they weigh 11 kg. The weight of green is 3 kilograms lower than three times the weight of yellow. What is the weight of a green melon?
Supported 6172
The ladder is 1.4 m from the wall and touches 3 m high. How long is the ladder?
Wood harvesting
The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him eight days. How often would he have to go daily to finish the job two days earlier?
Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise?
Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters.
A residential
A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days is the water i
Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm.
Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm.
The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths.
A candle
A candle shop sells scented candles for $16 each and unscented candles for $10 each. Today, the shop sells 28 candles and makes $400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How man
Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women
Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t
Connections 6133
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning.
Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
Father 7
The father is six times older than his son. After four years, the father will only be four times older. What are their present ages?
Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread?
Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes?
The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia

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