Maths practice for 14 year olds - page 104 of 378
Number of problems found: 7554
- Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo - 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes. - Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had nine more balls than Martin. How many balls did Martin win? Solve the help of the equation. - Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles? - Interest 60693
Mrs. Betka took out a loan of 8,300 euros. After a year, she paid interest of 415 euros. What is the interest rate on Mrs. Betka's loan? - Meadow 60683
Sheep and geese graze in the meadow. They have a total of 20 heads and 64 legs. How many sheep are in the field, and how many geese?
- Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed? - Stock market 3
Because of a political crisis, the country's stock market index dropped by 600 points. Before the crisis, the country's stock market was performing well at 8,000 points. By how many percent did the country's stock market index points drop? - The Fraction
The denominator of a Fraction is greater than the numerator by 4. if 11 is added to the numerator and one subtracted from the denominator, the value of the fraction obtained is 7/3. What is the original fraction? - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - Brother age
One brother talks about his younger brother: "2 years ago, I was three times my brother's age. In 3 years, I will be twice as old as my brother." How old is each brother now? - Theater 60503
We will pay 445 euros for 50 tickets. How many cinema and theater tickets will we pay if one cinema ticket costs 4 euros and a theater ticket 11 euros? - Change and percentages
What is the percent of change from 35 to 62? - Calculate ΔRST
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
- The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as? - Corresponding 60311
The drink was mixed from one hundred percent juice and water in a ratio of 1.5 liters of juice to 2.5 liters of water. Calculate how many liters of this drink will be created by mixing 1 liter of water and juice in the corresponding ratio. Calculate how m - Harvesters
Five combine harvesters harvest wheat in 12 days. How much will the harvest time be shortened when six combine harvesters enter the field? - One-third 60291
In the classroom, 50% of students come from other districts. One-third of them commute by bus, a fifth by bike, and seven pupils walk. How many students are in the class? - Pupils
Three hundred fifty pupils attend the school, of which 210 are girls. What percentage of boys attend school?
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