Logic math problems

14 problems with worked solutions.

Collections by grade

Grade 6
5 problems

№ 1 · Logic · Grade 1

There are 15 books on a shelf. The red book is fifth from the left. What is its position when the books are counted from the right?

№ 2 · Logic · Grade 1

There are 17 children in a line. Dasha is fourth from the end. What is her position from the start?

№ 3 · Logic · Grade 1

Olya had 24 stickers. She moved 5 stickers from one album to another. How many stickers does Olya have altogether now?

№ 4 · Logic · Grade 2

Ira, Oleg, and Maxim are standing in a line. Ira is ahead of Oleg, and Oleg is ahead of Maxim. What is Oleg’s position?

№ 5 · Logic · Grade 2

A two-digit number is intended. In the tens place there is a digit 3, and the sum of its digits is 7. What number is intended?

№ 6 · Logic · Grade 2

Leo is 9 years old. Nina is 3 years older than Leo, and Tim is 2 years younger than Nina. How old is Tim?

№ 7 · Logic · Grade 3

In a two-digit number, the tens digit is 3 more than the units digit, and the sum of the digits is 11. What number is this?

№ 8 · Logic · Grade 3

In a three-digit number, the hundreds digit is 4. The tens digit is 2 times smaller, and the ones digit is 3 greater than the tens digit. What is the number?

№ 9 · Logic · Grade 4

The sum of three consecutive natural numbers is 72. What is the largest of these three numbers?

№ 10 · Logic · Grade 6

Find the smallest positive integer that leaves a remainder of 2 when divided by 5 and a remainder of 4 when divided by 7.

№ 11 · Logic · Grade 6

Two ribbons of 84 and 126 centimeters must be cut into equal pieces of the greatest possible length with no remainder. How long is each piece?

№ 12 · Logic · Grade 6

One beacon flashes every 18 seconds and another every 24 seconds. They flash together now. After how many seconds will they flash together again?

№ 13 · Logic · Grade 6

There are chickens and rabbits in a yard. Altogether there are 18 heads and 50 legs. How many rabbits are there?

№ 14 · Logic · Grade 6

There are three closed boxes labeled 'apples', 'pears', and 'apples and pears'. All three labels are wrong. How many fruits must be taken from one chosen box to determine all the contents?