Math practice for 13 year olds - page 310 of 420
Number of problems found: 8400
- Cube diagonal
Calculate the length of the body diagonal in a cube of 15 cm. - Workers
A Group of workers washed half of the windows of the building in two hours. How long will it take half the workers to wash all the windows of the building? - Cone cutout
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Cone volume
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone. - Solving Inequality
Which x satisfies the inequality 5 - Tea mixture
We add 4 kg of tea to 2 kilograms of tea for 15 €, and we get the mixture for 12 €. How much is kg of second tea? - Job task
After two hours and 40 minutes, the job is finished. Compared to last year, we were 40 minutes faster. What is the percentage increase in our performance? - Discount percentage
The customer must buy goods worth CZK 3,800 without VAT and receive those worth CZK 3,340 without VAT. What percentage is the discount? - Three workers
Three workers were paid for their work. The first earned € 50, the second € 100, and the third € 60. For further work, we should receive € 735 together. How do you divide that amount to be distributed in the same proportion as the first job? - LPG recovery
Peter bought an LPG car. A liter of LPG-liquefied petroleum gas costs EUR 0.50/liter, and the price of gasoline is EUR 1.30/liter. Peter's used car cost 2950 Euros. How many kilometers does he have to drive to fully recover the car's value by going cheapl - Parallelogram
Side a of a parallelogram is twice longer than side b. Its perimeter is 78 dm. Calculate the length of the sides of a parallelogram. - Cleaning windows
The cleaning company has to wash all the school windows. On the first day, one-sixth of the windows are washed. The next day, three more windows are washed than the first day, and the remaining 18 windows are washed on the third day. Calculate how many wi - Candies
There are red, blue and green candies in a bag. Red to green is in the 6:11 ratio, and blue to red is in the 7:5 ratio. In what proportion are blue to green candies? - Grand Pardubice Steeplechase
George decided to divide the winnings from the bet in Grand Pardubice Steeplechase (Velká Pardubická) between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZ - Linear equation
Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like? 2x + 3y = 7 - Two Equations
Solve the system of equations by any method and perform the test: 2 (x + y) -3 (y + 2) = -1 x + 2/3y-6 = 2 - Nuts
500 g of hazelnuts cost 150 Kč, 2 kg of walnuts cost 280 Kč, and 20 dag of peanuts cost 32 Kč. 1. How much do we pay for 150 g of peanuts? 2. How many grams of walnuts cost 42 Kč? 3. How much do we pay for 150 g of a mixture that the seller blends for us - 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? - System methods
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Quarter percentage
What percentage of a quarter can be expressed as a percentage?
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