Maths practice for 14 year olds - page 276 of 370

Number of problems found: 7390

How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse?
Substitution 4644
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21
Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
Decimal 4641
The sum of two decimal numbers, one of the numbers is 3.2, larger than the other, is 52.78.
Seamstresses 4635
Eight seamstresses have to complete the order in 16 days. After four days, the two seamstresses switched to another job. In how many days will the order be fulfilled?
Cost reduction
Two MP3 players whose prices were equal initially were discounted, the first by 20%, the second by 35%. After the price reduction, their prices were 750 CZK different. What was each player's original price?
Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms?
Comparing salaries
Spouses compared salaries. Mrs. Janka found a 20% higher salary than Mr. Jaroslav. Together they earned € 1,430. How much do they earn each of them?
Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull
Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land.
Discounted 4623
The difference in prices for MP3 players was CZK 750. The shop discounted the MP3 player by 20%. The second MP3 was discounted by 35%, and after the discount, the difference in their prices was CZK 750. How much did they face before the deal?
Percentage 4619
Concert tickets have risen in price from € 18 to € 24. What percentage did they increase in price?
Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides.
Projectile 4611
A projectile weighing m1 = 0.01 kg is fired at a velocity v1 = 800 m/s from a rifle weighing m² = 4 kilograms.
Seamstress' 4608
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October?
Failure
Drivers of passenger cars have calculated that at a speed of 60 km/h, they arrive at their destination within 40 minutes. After 20 km, refrain for five minutes due to a technical failure. How fast must it go the rest of the way to the finish at the schedu
Airports 4605
Regular planes fly between the two airports 690 km away. The aircraft takes off from the first airport at 6:30 am at an average speed of 60 km/h faster than the aircraft taking off at 7.00 am from the second airport. The planes always meet at 9.00 am. At
Kilometers 4604
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, and for the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk?
Sum of money
On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315. Find the sum.

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