8/10/2019 Grade 5 math - Fractions

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1.

A road was supposed to be finished in 3 stages. However, during 1st

stage, only 17km of road

were completed. During 2nd

stage there were completed 3 times more km of road than the 1st

stage. During 3rdstage, there were completed 2 times more km of road than in 2ndstage. How

many km long did the road should have had, if you know that after the 3rdstage there were still

43km left to be completed?

2.

A lion can eat a sheep in 2 hours, a tiger can eat a sheep in 3 hours, and a hyena can eat a sheep

in 6 hours. How long it will take all three of them together to eat a sheep? (Hint: think fractions

or parts of a whole)

3.

What is a fraction? How are the elements of a fraction called? What is the meaning of each

element?

A

B

4.

What are the additions and subtraction rules for fractions

a.

When the fractions have the same denominator?

b.

When the fractions have different denominator?

5.

Write as a fraction what part out of a gram is 1 dg; 7dg; 1cg; 4cg?

6.

What part of 1 hour is 1 minute? 30 minutes? 15 minutes?

7.

What part of a week is 1 day? 3 days? 7 days?

8.

Reading every day the same number of pages, a student reads a book in 4 days.

a.

What part of the book did the student read in 1 day? What about 2 days? 3 days?

b.

If you know that in the 1stday she read 16 pages, find out how many pages does the

book have?

9.

In a class there are 32 students. One quarter of students like dance and three quarters like

swimming. Find the number of student that likes dance, and the number of students that like

swimming.

10.

What is a prime number? What can you tell about the numbers that are not prime numbers?

11.

Write the following numbers as product of prime numbers:

a.

12, 45, 7, 90, 23, 11, 1, 25, 71, 91, 33, 45

b.

3, 42, 17, 19, 67, 83, 16, 2, 5, 9, 31, 66, 100

12.

Write the fractions denominators and numerators as products of prime numbers:

a.

13.

What is the connection between a fraction and division?

14.

Write the fractions below as divisions:

a.

15.

What are equivalent fractions? Give examples!

16.

What are subpar fractions? What are over par or improper fractions? Give examples!

17.

Find the smallest equivalent fraction for the following fractions:

a.

b.

c.

8/10/2019 Grade 5 math - Fractions

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18.

Compare the fractions and determine which one is greater?

a.

b.

c.

d.

19.

Draw a square with the side of 4 cm. Colour in red of the square and in blue 2/8 of it.

20.

Using line segments, draw the following fractions:

a.

21.

A ribbon of 18 m is cut in 6 equal parts. Write the value of the following parts as a fraction, and

then as a division: 1 part; 2 parts; 3 parts; 5 parts and 6 parts.

22.

For every activity that Pat is doing during the day, write the correct fraction:

a.

Sleep 10 hours

b.

School 6 hours

c.

Homework 3 hoursd.

Play time 3 hours

e.

Eating 1 hour

f.

Others 2 hours

23.

Write all possible fraction combinations with the numerator = 4 and the denominator smaller or

equal with 7. (Hint: there should be 7 combinations)

24.

Write all the fraction combinations that have the numerator 6 and the denominator being an

odd number no higher than 9.

25.

Write all the fraction combinations that have the numerator 3 and the denominator a number

between 6 and 12.

26.

Write all the fraction combinations that have the numerator an even number between 1 and 9

and the denominator at least 8 but no more than 10.