Examples for 5th grade (the fifth graders)
- Triangle ABC
In a triangle ABC side b measure 10 cm less than the side a and side b is half of the side c. Calculate the length of sides if the circumference of the triangle is 42 cm.
3 pounds subtract 1/3 of a pound.
- Perimeter from area
What is the perimeter of the square if its content is 64 cm2?
Divide substance 110 cm long to two parts so that it first part is 10 cm longer than the second part and one part will be 10 times longer than the second portion. How long the parts will be?
- Unknown number xyz
Find the number that its triple is 24. Solve by equation.
- Pets in ZOO
The zoo have run for pets. They are chickens, pigs and cow. Altogether there has 20 heads and 60 feet. How many chickens and piglets are there?
- Toy store
In the toy department of store was exposed 28 dolls. 19 dolls were blondes or could speak. 12 dolls were blondes, 14 could speak. How many blondes could speak in the toy department? How many blondes could not speak?
- Goat, cabbage and wolf
A man once had to travel with a wolf, a goat and a cabbage. He had to take good care of them, since the wolf would like to taste a.piece of goat if he would get the chance, while the goat appeared to long for a tasty cabbage. After some traveling, he sudd
- Hello adding
Fill letters instead of digits so the indicated sum (equal letters represent equal digits). What number is hidden under the letter J? A A H A H O A H O J -------------------------- 4 3 2 1
- Company account
The company had an account of EUR 10,000. On Monday it withdraw 3,000 euros and Tuesday 6,000 euros. How much did the euro remain in the account?
- Star equation
Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗
- Christmas trees
Salesman sold Christmas trees: spruce for € 22, pine for € 25 and fir for € 33. At the morning he had the same number of spruce, fir and pine. At the evening he had all the trees entirely sold for € 3,600. How many trees that day salesman sold?
Nelly found interesting point. An empty bag weighs 4 kg less than full. And empty bag is 5 times easier than full. How many kg weigh things in this bag?
- MO-Z5-3-66 tiles
The picture shows a square tiles with side 10 dm which is composed of four identical small rectangles and squares. Circumference of small square is five times smaller than the circumference of the entire tile. Determine the dimensions of the rectangle.
Which number in division 16 give 12 and the rest 3?
- Unknown number 16
My number's tens is three times more then ones My number's ones is twice the number of thousands and my number's hundreds is half the number of of tens. I have two ones. which number am I?
Grandfather have three barrels each with a capacity 2HL in the garden. How many times he can fill 10L can if two barrels are full and the third is filled with water to the half? How long it lasts water when irrigate the garden 125 liters a day?
- Apples 5
In six crates are 45 kg of apples. In five crates were the same amounth and in one crate was 3 kg of apples more. How many kg of apples were in each crate?
Jitka read on holidays book that has 180 pages. In the first week read 45 pages. In the second week she read 15 pages more than the first week. How many pages left to read it yet?
We have vessels containing 7 liters, 5 liters and 2 liters. Largest container is filled with fluid the others empty. Can you only by pouring get 5 liters and two 1 liter of fluid? How many pouring is needed?