Problems for 6th grade (the sixth graders) - page 23
- Bonbons 2
Kilo sweets will cost 260 CZK. The first type has a price per 320 kg, the second type 240 CZK per kg. How many kilos of both kinds of sweets need to prepare a 100 kg mixture ?
From 5.9 cm wide strip should be cut rhombus with area 28 cm2. How long will be its side?
- Cube 5
The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
- Unknown number 5
I think unknown number. If we enlarge it five times then subtract 3 and result decreases by 75% we get the number by one greater than the number I think. What number am I thinking?
- Water tank
Water tank shape of cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second and the inflow will be open 5/6 hour? (Calculate to one decimal place and the results give in
- Playing Cards
Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them?
John read the book so that it read 30 pages per day. Maxim read 34 pages a day and read it two days earlier than John. How many pages has the book?
- Draw it!
Draw two lines c, d that c || d. On line c mark the points A, B. By point A lead perpendicular line to c. By point B lead perpendicular line to c.
Calculate the content of the shaded part of square with side 28 cm.
- The port
Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port?
From the pump in the yard dripping water. Every drop is 1 ml. How many drops will be necessary before filling a bucket with a volume of 10 l? Calculate how long it will fulfill the bucket when drops fall each second.
- Turtles Žofka and Julka
Gray wolf kept in his tent turtles Žofka and Julka, which together have 200 years. After 50 years will Julka 2 times older than Žofka. How old are the turtles?
What number I think? The third is 6 and half is 2 more than the its quarter.
- Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once)
- Money borrow
Ms. Kate wants to borrow € 2,000. The company A will borrow ten installments of 240 euros and the first two months does not pay anything. Company B it their position in 12 installments of € 210. Which company has the more favorable interest rate for Ms. K
Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
- Seven tractors
Seven tractor plowed 308 ha field in four days. How many hectares of fields will plowe 9 tractors in 3 days at the same power?
- Area of square
Calculate the content area of the square whose perimeter is 24 dm.
Sarah bought 9 pins, Eva bought 4 pins and saved 2 euros. How many pins buy Dana, when she have 3 euro?
- Master and apprentice
Master painted the roof in 3 hours and apprentice for 4 hours. How many of roof they painted in hour and how many in three quarters of an hour?