Reasoning - math word problems - page 14 of 31
Number of problems found: 613
- Grandparent age average
The average age of the grandfather, grandmother, and their five grandchildren is 26 years. The average age of the grandchildren themselves is 7 years. Grandma is a year younger than grandpa. How old is grandma? - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Dream market equivalence
At the dream market, she offered the Sphinx to a traveler for four dreams, seven illusions, two naps, and one nightmare. Another has seven dreams, four illusions, four naps, and two nightmares. The Sphinx always measures the same for all travelers. How ma - Positive integer integral How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
- Sequence difference ratio
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Chessboard square selection
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Water container measurement
Happy Mom needs to measure exactly 6 liters of water. It only has a five-liter and a seven-liter container. How can a mother measure exactly 6 liters of water by gradually pouring? He doesn't care about other containers. - Two-digit divisor nineteen Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76
- Number series exclusion Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19
- Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Triangle circle proof
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Rose bouquet maximum
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses? - Digit omission divisibility
In the number 123 456 789, omit the following: a) one digit to create the largest possible number divisible by 3 b) one digit to create the largest possible number divisible by 9 - Orchard tree rows
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Family visit count
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - Number inequality replacement
What is the smallest whole number to replace the known x for: 9> x/3> 4. - Six-digit number creation How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
- Number symmetry divisibility Complete the digits to create a symmetrical number divisible by 5 to the number 346.
- Apple bowl remaining
There were 10 apples in the bowl. There were 35 apples in the bucket. Ivan transferred 15 apples from the bucket to the bowl. Then Zora took 4 apples from the bowl. Mom took 2/3 of the remaining apples in the bowl for the pie. How many apples are left in
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