Arithmetic problems for Grade 6

7 problems with worked solutions.

№ 1 · Arithmetic · Grade 6

A book has 240 pages. Lena read three fifths of the book on the first day and 18 more pages on the second day. How many pages are left?

№ 2 · Arithmetic · Grade 6

Seven twelfths of a number equal 84. What is the number?

№ 3 · Arithmetic · Grade 6

Three segments have lengths in the ratio 3:4:5, and their total length is 144 centimeters. What is the length of the longest segment?

№ 4 · Arithmetic · Grade 6

A price of 800 rubles was increased by 15 percent, then the new price was reduced by 10 percent. What is the final price in rubles?

№ 5 · Arithmetic · Grade 6

Five containers have an average mass of 42 kilograms. Four containers together weigh 158 kilograms. How many kilograms does the fifth container weigh?

№ 6 · Arithmetic · Grade 6

A number was multiplied by 4, then 18 was subtracted from the result. The result was 70. What was the original number?

№ 7 · Arithmetic · Grade 6

Three quarters of a number were increased by 12, giving 57. What is the original number?