# Problems for 6th grade (the sixth graders) - page 48

1. Volume of cone Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
2. Curved surface area CSA A cylinder 5cm high has a base radius(7/2) cm. Calculate the curved surface area.
3. Mixed2improper Write the mixed number as an improper fraction. 166 2/3
4. Sum of fractions What is the sum of 2/3+3/5?
5. Sewing The lady cut off one half of cloth. She needed three-quarters of this piece to sew a skirt. What part of the original piece of cloth still remained?
6. If one If one litre of pant covers an area of 5 m2 how much paint is needed to cover: a) rectangular swimming pool With dimensions 4m x 3m x 2.5m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir with diameter 3m and The railroad runs parallel to the railway. The train travels at 36 km/h on track. In the opposite direction, the motorcycle rides at 90 km/h. The train passes in 3 seconds. How long is a train?
8. Rectangles How many different rectangles with sides integers (in mm) have a circumference exactly 1000 cm?
9. The cube The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
10. Simple equation 5 Solve equation with fractions: X × 3/8 = 1/2
11. Square into three rectangles Divide the square with a side length of 12 cm into three rectangles with have the same circumference so that these circumferences are as small as possible.
12. Clothes Danka and Janka collect clothes. Danka had 9 more than Janka, so she gave her 7. Which now has more cloth and how many?
13. Symbols If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5?
14. Circle simple Circumference of a circle is 6.28. What is the area of the circle?
15. Fraction and a decimal Write as a fraction and a decimal. One and two plus three and five hundredths
16. Perimeter of square The square has a circumference 17cm. What is its area?
17. One hectare How many square meters are one hectare?
18. Seven times Which number seven times is just as higher as 27, how much is smaller than 29?
19. The number The number of 1 cm cubes required to make 4 cm cube is?
20. Dropped sheets Three consecutive sheets dropped from the book. The sum of the numbers on the pages of the dropped sheets is 273. What number has the last page of the dropped sheets?

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