Order of Operations
18+7×5−12
41
108×103
105=100,000
Maria has 12 red balloons and 18 blue balloons. She wants to create identical balloon bouquets using all her balloons, with each bouquet having the same number of red and blue balloons. What is the greatest number of bouquets she can make?
6 bouquets
x+150=250
x=100
A number is missing from the following sequence: 2, 4, 8, __, 32. What is the missing number?
The missing number is 16. The sequence is multiplied by 2 each time.
(25+15)÷5+18×2
44
79/74
75
Two friends, Emma and Liam, go jogging around a track. Emma completes a lap in 12 minutes, and Liam completes a lap in 15 minutes. If they start at the same time, after how many minutes will they both be back at the starting point at the same time?
60 minutes
3y=468
y=156
You stand before two doors. One door leads to freedom, and the other leads to certain doom. Two guards are standing in front of the doors. One guard always tells the truth, and the other always lies, but you don’t know which is which. You can ask only one guard one question. What question do you ask to find the door to freedom?
Ask either guard, "If I asked the other guard which door leads to freedom, what would he say?" Whichever door he points to, choose the opposite door. The truth-teller will point to the doom door because that's what the liar would say, and the liar will also point to the doom door because he is lying about what the truth-teller would say.
35+6×(24−18)2−15
236
(122)3
126
Jack has two pieces of ribbon, one that is 24 inches long and another that is 36 inches long. He wants to cut both ribbons into smaller pieces of equal length with no leftover ribbon. What is the longest possible length for each smaller piece?
12 inches
2x−300=100
x=200
In a family, there are three brothers and three sisters. Each brother has one sister. How many children are there in the family?
There are 6 children in total. Each brother has the same one sister, so there are 3 brothers + 3 sisters = 6 children.
(54÷9)×(42+5)−20×3
66
155×15−3
152
Two buses leave the same station at the same time. One bus returns to the station every 20 minutes, and the other bus returns every 30 minutes. After how many minutes will both buses be back at the station at the same time?
60 minutes
5z/3=150
z=90
What is the next number in the sequence?
10, 20, 15, 30, 25, __?
The next number is 50. The sequence alternates between multiplying by 2 and subtracting 5.
72−[5×(19+8)−34]÷4+6
52.75
208×20−5 / 202
20
A gardener is planting two types of flowers in rows. She has 36 sunflower seeds and 48 tulip bulbs. She wants to plant them in rows so that each row has the same number of sunflower seeds and the same number of tulip bulbs, with no leftovers. She also wants the fewest number of rows possible. How many rows will she need, and how many seeds/bulbs will be in each row?
The gardener will need 3 rows, each with 12 sunflower seeds and 12 tulip bulbs.
7(a−200)+150=1,050
a≈328.57
A father is twice as old as his son. In 20 years, the father will be 1.5 times as old as his son. How old are they now?
The son is 20 years old, and the father is 2×20=40 years old.