FSQ02 Review

William and Oliver are planning a cookie party! They have a magical carton that contains 60 boxes of cookies. Each box costs the same amount, c. Which expression could help them figure out the cost of a carton of cookies?

• c/60

• 60/c

• 60c

• c + 60

Answer explanation

To find the total cost of the carton, multiply the number of boxes (60) by the cost per box (c). Thus, the expression 60c represents the total cost of the carton of cookies.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Emma and Liam are on a treasure hunt, and they need to unlock a mysterious box. The key to the box is the prime factorization of 550. Can you help them find the correct combination?

• 2 x 5²

• 2 x 5 x 11

• 2 x 5² x 11

• 2 x 10 x 11

Answer explanation

To find the prime factorization of 550, we divide it by 2, then by 5 twice, and finally by 11. This gives us 2 x 5² x 11, which is the correct combination to unlock the box.

Mason hits the gym every 10 days, while Aiden pumps iron every 15 days. If both Mason and Aiden start their workout routine today, how many days will it take for them to flex their muscles at the gym on the same day again?

• 5

• 25

• 150

• 30

Answer explanation

To find when Mason and Aiden will work out together, calculate the least common multiple (LCM) of 10 and 15. The LCM is 30, meaning they will both hit the gym together again in 30 days.

Tags

CCSS.6.NS.B.4

Daniel and Aria are playing a math game. They need to find the greatest common factor between 392 and 588 to unlock the next level. Can you help them figure it out?

• 98

• 3

• 49

• 196

Answer explanation

To find the greatest common factor (GCF) of 392 and 588, we can use the prime factorization method. The GCF is 196, as it is the largest number that divides both 392 and 588 without a remainder.

Tags

CCSS.6.NS.B.4

Hey math wizards! Evelyn and Michael are on a quest to find all the magical expressions that equal 6^5. Can you help them by selecting all the correct ones?

• 46,650

• 7,776

• 30

• 6(5)

• 6 • 6 • 6 • 6 • 6

Answer explanation

To find expressions equal to 6^5, calculate 6^5 = 7776. The expression 6 • 6 • 6 • 6 • 6 also represents 6 multiplied by itself 5 times, which equals 7776. Thus, 7776 and 6 • 6 • 6 • 6 • 6 are correct.

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Zoe and Daniel are organizing a fun school fair and have 36 colorful pencils and 72 bright erasers to give away as prizes. They want to pack them into boxes, ensuring each box has the same number of pencils and erasers. What is the greatest number of boxes they can prepare using all the pencils and erasers?

• 6

• 108

• 36

• 150

Answer explanation

To find the greatest number of boxes, we need the greatest common divisor (GCD) of 36 pencils and 72 erasers. The GCD of 36 and 72 is 36, meaning they can prepare 36 boxes with 1 pencil and 2 erasers each.

Tags

CCSS.6.NS.B.4

Emma and Ethan run a cozy little bakery and receive a weekly delivery of their popular desserts. Over time, they received a total of 375 cookies and 100 pies. Each delivery brings them 15 cookies and 4 pies. Use the equation 375 + 100 = n(15 + 4) to find out how many deliveries they received. Complete the sentence. Select the letter before the correct number.

• 450

• 25

• 18

• 50

Answer explanation

To find the number of deliveries, use the equation 360 + 90 = n(15 + 3). This simplifies to 450 = n(18). Solving for n gives n = 25. Therefore, Emma and Ethan received 25 deliveries.

Multiples and factors

Zoe, Aiden, and Abigail are on a treasure hunt! To unlock the next clue, they need to find the greatest common factor of 9, 15, and 45. Can you help them solve this puzzle?

• 9

• 15

• 45

• 3

Answer explanation

To find the greatest common factor (GCF) of 9, 15, and 45, we list their factors: 9 (1, 3, 9), 15 (1, 3, 5, 15), and 45 (1, 3, 5, 9, 15, 45). The largest common factor is 3.

Tags

CCSS.6.NS.B.4

7^{6 -} In this expression, the 6 is the ​ ​ (a)   ​

• exponent
• addend
• product
• base

Tags

CCSS.6.EE.A.1