Math practice for 13 year olds - page 379 of 413
Number of problems found: 8253
- Journey
The road from A to B measures 11.5 km. Firstly, up the hill, then level plane, and then downhill. Tourists go uphill at 3 km/h, on planes at 4 km/h, and downhill at 5 km/h. From point A to B, it went 2 hours, 54 minutes back, 3 hours, and 6 minutes. How l - Sisters
Sisters Susan Helen and Vera have saved for a new bike. Susan save € 90, Helen save € 90 and Vera save € 82. Missing 30% gave them their mother. What is the price of the bike? - Purchase
The mother bought five boxes of milk and 7 kg of potatoes and paid a total of CZK 147. The aunt bought seven boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How would CZK together have bee - Pair
The pair have been together 57 years. He has two times as she was when he was equal as she has today. How old are they? - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 352 mm. - Equations
Solve the following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44 - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - Three days
During the three days, I sold stationery 1490 workbooks. The first day sold workbooks more than the third day. On the second day, 190 workbooks sold in less than the third day. How many workbooks are sold each day? - Coins
On coins found, it was stated that from the year 87 BC. Is it right? - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Rhombus
PQRS is a rhombus. Given that PQ=2 cm & height of the rhombus is given 1.3 cm. Calculate its area. - Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city? - Three digits number
How many are three-digit integers such that they have no digit repeats? - Equation with fractions
Solve an equation: 1- (2x-5)/(6) =3- (x)/(4) It is an equation with fractions. - Chess
How many different ways can you initiate a game of chess (first pass)? - Three workers
The company rewarded three workers, CZK 9200, and their work divided the money. The first worker gets twice the second, the second three times more than the third. How much money did each worker receive? - Tablecloth
I embroider a tablecloth in 20 days, but if I embroider for 3/4 hours a day, I have embroidered it for 15 days. How long do I embroider a day? - Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water?
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