1. Determine the number greater than 70 but less than 85 that is divisible by both 2 and 9.(1 point)
Responses
84
84
81
81
78
78
72
2. Jesse lists four-factor pairs of 72 as 2 × 36, 4 × 18, 6 × 12, and 8 × 9. Which factor pair has a prime number?(1 point)
Responses
4 × 18
4 times 18
2 × 36
2 times 36
6 × 12
6 times 12
8 × 9
3. The composite number 50 is between what two prime numbers? (1 point)
The composite number 50 lies between _
_and
, both prime numbers.
4. Express the prime factorization of 1,200 as a product of prime numbers with exponents.(2 points)
4 ⋅ _ ⋅ _ 2 = 1,200 (The 2 before the equal sign is supposed to be small.)
5. Find the greatest common factor of 31 and 93.(1 point)
The greatest common factor of 31 and 93 is
_.
6. A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition? (1 point)
Responses
2(8+10)
2 left parenthesis 8 plus 10 right parenthesis
1(16+20)
1 left parenthesis 16 plus 20 right parenthesis
4(4×5)
4 left parenthesis 4 times 5 right parenthesis
4(4+5)
7. At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked healthy foods. How many students preferred healthy foods?(1 point)
Responses
4
4
16
16
12
12
14
8. There are 40 students in Joan’s class. She plans to invite them to her birthday party. She asked them to suggest a theme for her party. Three of every eight students suggested a rainbow-themed party. How many students suggested a rainbow-themed party? How many did not?(1 point)
students suggested a rainbow-themed party, while
students did not.
9. Mary ate 412 pears and Carmie ate 724 pears. If they finished all the pears in a box, how many pears were in the box?(1 point)
Responses
11 1/4
12
12
11
11
11 3/6
10. What is the fractional equivalent of 2.125?(1 point)
Responses
218
2 Start Fraction 1 over 8 End Fraction
216
2 Start Fraction 1 over 6 End Fraction
128
1 Start Fraction 2 over 8 End Fraction
2 3/8
11. Fernando spent $20 of his $50 weekly allowance on snacks. What percent of his weekly allowance did he spend on snacks?(1 point)
_%
12. Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces. At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least.(1 point)
Responses
58, 916, 24: The cheese quiche was eaten the most.
Start Fraction 5 over 8 End Fraction, , , Start Fraction 9 over 16 End Fraction, , , Start Fraction 2 over 4 End Fraction, : The cheese quiche was eaten the most.
16, 8, 4: The cheese quiche was eaten the most.
16, 8, 4: The cheese quiche was eaten the most.
916, 58, 24: The spinach quiche was eaten the most.
Start Fraction 9 over 16 End Fraction, , , Start Fraction 5 over 8 End Fraction, , , Start Fraction 2 over 4 End Fraction, : The spinach quiche was eaten the most.
or
10/16, 8/16, 9/16: The cheese quiche was eaten the most
13. Identify the ascending numerical order of the decimals and fractions. Keep the original format for each item.
119, 116, 1312, 0.01, 0.062
(1 point)
Responses
0.062, 1312, 0.01, 116, 119
0.062, , 1 Start Fraction 3 over 12 End Fraction, , , , 0.01, , 1 Start Fraction 1 over 6 End Fraction, , , 1 Start Fraction 1 over 9 End Fraction
0.01, 0.062, 119, 116, 1312
0.01, 0.062, , 1 Start Fraction 1 over 9 End Fraction, , , 1 Start Fraction 1 over 6 End Fraction, , , 1 Start Fraction 3 over 12 End Fraction
1412, 31500, 76, 109, 0.002
Start Fraction 14 over 12 End Fraction, , , Start Fraction 31 over 500 End Fraction, , , Start Fraction 7 over 6 End Fraction, , , Start Fraction 10 over 9 End Fraction, , 0.002
1312, 119, 116, 0.062, 0.01
14. A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 45, Jamie completed 58, Keenan completed 59, Maya completed 0.833, and Trey completed 0.875. Identify the descending numeric order of the laps completed.(2 points)
_ , _ , _ , _ , _
15. Consider the numbers 13, 16, 27, and 41.
a. Which of these numbers is prime? How do you know?
b. Which of these numbers are composite? How do you know?(2 points)
ASk one at a time and the ai will help you.
HIIIII
@♤☢ 💥в𝕒𝒸𝓀𝓊g๏💥 Ok thanks
Np
won't matter, since there is a good chance that the AI will get them wrong.
#1. it will be even, and the only two even multiples of 9 in that range are 72 and 81. So, ...