# Examples for 6th grade (the sixth graders) - page 39

- Guess a fraction

Tom was asked to guess a fraction. The sum of 1/2 the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in simplest form) - Forest nursery

In the forest nursery after winter, they found that 1/10 stems died out of them. For them, they land 193 new spruces. How many spruces are in the forest nursery? - Unknown number 11

That number increased by three equals three times itself? - LCD 2

The least common denominator of 2/5, 1/2, and 3/4 - Two monuments

The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km. - Average speed

Michal went out of the house by car at speed 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places. - Rhombus sides

find the sides of a rhombus, it area is 550 cm square and altitude is 55cm - Bar

Half of the bar is green, the third is yellow and the remaining 40cm is red. How long is a bar? - Expressions

Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a^{3}- b^{2}- 2ab z=a^{2}b^{3}- a^{3}b^{2}w=a + b + a^{3}- b^{2} - Good swimmer

Good swimmer swims 23 m distance with ten shots. With how many shots he swim to an island located 81 m if still swims at the same speed? - One deci

Wine 0,375 l costs 2040 CZK. How much does 1 dl cost? - Two machines

Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces produced per shift second machine? b) How many pieces produced two machines together for five shifts? - Groups

In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group? - Product of two fractions

Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction. - Garden

The garden has the shape of a rectangle measuring 19m20cm and 21m60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent pi - Hotel

The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel. - Closest natural number

Find the closest natural number to 4.456 to 44.56 and to 445.6. - Equation 11

Solve equation: ? - Subjects

Student makes a mathematical task for five minutes and the task from biology in twelve minutes. Another day he have homework in math and biology which consists of eleven tasks together. To do the job took hour and a half. How many tasks maked in each subje - One frame

5 picture frames cost € 12 more than three frames. How much cost one frame?

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