Examples for 6th grade (the sixth graders)
Number of problems found: 1419
3/5 of the trees in the orchard are apples, 1/3 are cherries and the remaining five trees are pear. How many trees are in the orchard?
- Even / odd numbers
a / Using variable n write two consecutive odd numbers. b / the sum of three consecutive odd numbers is 333. What are this numbers?
Julka has 3 cents more than Hugo. Together they have 27 cents. How many cents has Julka and how many Hugo?
Brother got to buy 240 CZK and could buy for 1/8 what he wanted. Could he pay the rest of the purchase for 200 CZK?
Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
- Car amortization
Assume that the car has a life 13 years and new cost 24000 euros. Calculate how much a month is amortized cost of the car over its lifetime. Amortization is the gradual reduction of assets (cars, buildings), mainly due using or aging.
- Sheet of paper
Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no)
Dana started at 10:00 from the point A to point B. These points are distant 12 km. Determine how fast Daniel went when the place B arrived at 11:54. Speed express in km/h.
To cuboid tank whose bottom has dimensions of 9 m and 15 m were flow 1080 hectoliters of water. This was filled 40% of the tank volume. Calculate the depth of the tank.
- A cylindrical tank
A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?
- Do you solve this?
Determine area S of rectangle and length of its sides if its perimeter is 102 cm.
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition sick or wasn't came. How many hours is sufficient air to other divers?
- Paper collecting
At the paper collecting contest gathered Franta 2/9 ton, Karel 1/4 ton, and Patrick 19/36 tons of paper. Who has gathered the most and the least?
- Bathroom 2
A bathroom is 2.4 meters long and 1.8 meters wide. How many square tiles 1 dm on each side are to be used to cover it?
Caleb is making lemonade for a party. He has 5 gallons of lemonade. He is putting 1/3 cubic inch of lemonade in a cup for each guest. How many guests are going to be at the party?
- Inter city bus
The inter city bus leaves Suva at 10.00am and reaches Nadi at 1.00pm covering a distance of 219km. How long did it take to reach the bus Nadi?
- Game room
Winner can took win in three types of jettons with value 3, 30 and 100 dollars. What is minimal value of win payable in this values of jettons?
Watering can full of water weighs 10 kg. Half-full can weighs 5.5 kg. How much weigh can?
Gardeners pays to city for the lease of one square meter of land CZK 3. How much to pay each year? a) for 2 hectares b) 2 are 150 m2
- Quotient 3
If the quotient of 8/13 and 2 is subtracted from the product of 1 3/4 and 8/21, what is the difference?