Multi-Step Challenges
Juan has one 14-ounce container of juice and two 20-ounce containers. He pours all the juice into 4-ounce glasses. How many full glasses can he fill?
13 full glasses. (14 + 20 + 20 = 54; 54 ÷ 4 = 13 R2)
Solve: 3,500 ÷ 7
500
Which number is a multiple of both 6 and 12: 3, 6, 18, or 24?
24
Prime Number
An iPad costs $328, which is how many times as much as an $8 case?
41 times as much. ($328 ÷ $8 = 41).
Carol has 44 gummy candies and 163 chocolate candies. She keeps 21 pieces for herself and gives the rest equally to 6 friends. How many pieces does each friend get?
31 pieces. (44 + 163 = 207; 207 - 21 = 186; 186 ÷ 6 = 31)
Kate needs to ship 70 birdhouses from Store A and 150 from Store B. If each shipping box holds 6 birdhouses, how many boxes does she need for all of them?
37 boxes. (70 + 150 = 220; 220 ÷ 6 = 36 R4, so a 37th box is needed for the remaining 4)
List all the factor pairs for the number 36.
(1, 36), (2, 18), (3, 12), (4, 9), and (6, 6)
answer to a multiplication problem
product
If a partial quotient model shows 2,700, 210, and 15 being divided by 3, what is the original division equation?
2,925 ÷ 3 = 975. (2,700 + 210 + 15 = 2,925)
Maria wants a $6,400 car. She saved $200 a week for 4 weeks. If she earns $8 per hour babysitting, how many more hours must she work to buy the car?
700 hours. ($200 × 4 = $800 saved; $6,400 - $800 = $5,600 left; $5,600 ÷ $8 = 700).
Solve 526 ÷ 9 and identify the remainder.
58 R4
identify which of these numbers are prime: 9, 17, 18, 39, 47, 51.
17 and 47. (9, 18, 39, and 51 are composite)
two numbers that are multiplied together to get a product
factor
There are 126 fifth graders, which is 3 times more than the number of fourth graders. How many fourth graders are there?
42 students
David has 56 grape candies and 124 orange candies. He eats 15 pieces himself and then divides the remaining candy equally among 5 friends. How many pieces of candy does each friend get?
$56 + 124 = 180$ total candies. $180 - 15 = 165$ candies left. $165 \div 5 = 33$.
2,134 divided by 9
237 R 1
Is 51 prime or composite
composite
a number that has more than two factors
composite
There is a sale at the mall. Hats are on sale for 7 dollars. The regular price of the hats is 4 times as much as the sale price. What is the price of one hat at the regular price?
28
A teacher has 85 blue markers and 115 red markers. She sets aside 10 broken markers and puts the rest into boxes that hold 9 markers each. How many boxes will she need to hold all the markers?
$85 + 115 = 200$ total markers. $200 - 10 = 190$ working markers. $190 \div 9 = 21$ with a remainder of $1$ ($21$ R $1$).
Answer: 22 boxes (You need an extra box for the leftover marker).
523 divided by 7
74 R 5
is 9 prime or composite
composite