Examples for 5th grade (the fifth graders)
Number of problems found: 499
- Three points
Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
From 5.9 cm wide strip should be cut rhombus with area 28 cm2. How long will be its side?
After the check of textbooks found that every 10-th textbook should be withdrawn. Together 58 textbooks were withdrawn. How many textbooks were in stock before withdrawn, and how many after withdrawn?
- Wood 11
Father has 12 1/5 meters long wood. Then I cut the wood into two pieces. One part is 7 3/5 meters long. Calculate the length of the other wood?
- Bean bag
A student tossed a bean bag. It landed 216 inches away. How many yards are equal to 216 inches?
- Parcel service
Parcel from U.S. to Slovakia costs 5.3 €. Parcel from Slovakia to the U.S. costs 49 €. Calculate how many times is Slovak Post more expensive than the U.S. parcel service.
The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?
Landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now 5 ducats more?
In the zoo was elephants as many as ostrichs. Monkeys was 4 times more than elephants. Monkeys were as many as flamingos. Wolves were 5 times less as flamingos. How many of these animals were together? We know that there were four wolves.
- A trout
A trout was swimming 9 feet below the surface of a lake. It dove down 8 more feet to search for food. What is the position of the trout now relative to the surface? To solve the problem, Denise subtracted 9–8 and came up with an answer of 17 feet. Is Deni
Straight streets is long x = 475 meters. At the beginning and at the end of the street are poles. The poles are spaced 25 m. How many poles are on the street?
Emil has 23 pencils in a pencil case, 18 of which were broken. Emily 9 trims, 2 breaks, 4 trims and goes to school. When he return from school, he has broken 5 pencils. How many pencils have trimed at school?
- 3 cats
3 cats eat 3 mice in 3 days. How many mice will eat 10 cats in 10 days?
At the bus stop 8 people take out and 10 people take into bus. Next stop 6 take out and 5 take in. On the third stop 6 take out and 3 take in. The bus traveled further with 39 people. How many passengers were originally at the bus?
- Milk crates
A farmer sells milk in crates that hold 15 bottles. She has 34,125 bottles of milk. How many crates can the farmer fill?
- Dividing by five and ten
Number 5040 divide by the number 5 and by number 10: a = 5040: 5 b = 5040: 10
- Cottage house
The village is 28 km from the cottage. Father goes from village to cottage. Son goes from the cottage to the village. They meet 10 km further behind the cottage. How much did dad walk?
- The average
The average of one set of 4 numbers is 35. The average of another set of number is 20. The average of the numbers in the two sets is 30. How many numbers are there in the other set?
- Shoes 4
Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. In centimeters, what is the combined length of their two shoes?
Majka gave from her collection of calendars Hanke 15 calendars, Julke 6 calendars and Petke 10 calendars. Still remains 77 calendars. How many calendars had Majka in her collection at the beginning?