Maths practice for 14 year olds - page 222 of 312
Number of problems found: 6232
- Equations 4648
Solve the system of equations by any method and perform the test: 2 (x + y) -3 (y + 2) = -1 x + 2 / 3y-6 = 2 - 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.
- Cost reduction
Two MP3 players whose price was equal to initially have been discounted, the first by 20%, the second by 35%. The difference in their prices of 750 CZK was after the price reduction. What was the original price of each of the two players? - 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 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-1 from a rifle weighing m² = 4 kilograms. - Failure
Drivers of passenger cars have calculated that at a speed of 60 km/h arrives 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 come 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. - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Surface 4588
What is the volume of a sphere with a surface area of 113.04 square meters? - Prescribed 4579
The racing ball for men has a prescribed weight of 7250g. It is made of iron. How does its diameter change if we make it from lead? The density of iron is 7.8 g / cm cubic, and the density of lead is 11.3 t / m cubic.
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