Question

6 tammy left her house at 8:35 in the morning and did not return until 4:45 in the afternoon.
how long was tammy away from her house?
3 hours 50 minutes
4 hours 10 minutes
7 hours 50 minutes
8 hours 10 minutes
13 hours 20 minutes

7 mike had 4 cups of rice.
he used \\(\frac{1}{2}\\) cup of rice for one recipe and \\(1\frac{1}{4}\\) cups of rice for another recipe.
how many cups of rice did mike have left?
\\(1\frac{1}{4}\\)
\\(2\frac{1}{4}\\)
\\(2\frac{1}{2}\\)
\\(3\frac{5}{4}\\)

8 masons receipt from an electronics store was torn and part of it was lost.
one-stop electronics store
quantity item cost
2 10-pack batteries
4 usb cable
1 16 gb flash drive
total for 7 items total amount

he knew:

• each 10-pack of batteries cost just under \\$6
• each usb cable cost just under \\$11

his credit card statement showed that he spent \\$72.40 at the electronics store.
about how much did the flash drive cost?
\\$5
\\$16
\\$28
\\$55

Explanation:

Calculate elapsed time for Question 6

Using the Fractions knowledge point to help structure our thinking, let's first find the time elapsed from 8:35 AM to 4:45 PM.

• From 8:35 AM to 12:00 PM (noon) is:

$$ 12:00 - 8:35 = 3\text{ hours } 25\text{ minutes} $$

• From 12:00 PM to 4:45 PM is:

$$ 4\text{ hours } 45\text{ minutes} $$

• Adding these two intervals together:

$$ (3\text{ hours } + 4\text{ hours}) + (25\text{ minutes } + 45\text{ minutes}) = 7\text{ hours } 70\text{ minutes} $$

• Since \(70\text{ minutes} = 1\text{ hour } 10\text{ minutes}\):

$$ 7\text{ hours } + 1\text{ hour } 10\text{ minutes} = 8\text{ hours } 10\text{ minutes} $$

Calculate remaining rice for Question 7

Using the Mixed Numbers and Fractions knowledge points, we find how much rice Mike has left.

• Total rice Mike had: \(4\) cups.
• Rice used for the first recipe: \(\frac{1}{2}\) cup.
• Rice used for the second recipe: \(1\frac{1}{4}\) cups.
• Total rice used:

$$ \frac{1}{2} + 1\frac{1}{4} = \frac{2}{4} + 1\frac{1}{4} = 1\frac{3}{4}\text{ cups} $$

• Subtract the total used from the initial amount:

$$ 4 - 1\frac{3}{4} = 3\frac{4}{4} - 1\frac{3}{4} = 2\frac{1}{4}\text{ cups} $$

Estimate the cost of the flash drive for Question 8

Let's estimate the total cost of the other items to find the approximate cost of the flash drive.

• Mason bought:
• 2 of the 10-pack batteries: each cost just under \$6, so 2 packs cost just under:

$$ 2 \times \$6 = \$12 $$

• 4 USB cables: each cost just under \$11, so 4 cables cost just under:

$$ 4 \times \$11 = \$44 $$

• Combined estimated cost of batteries and cables is just under:

$$ \$12 + \$44 = \$56 $$

• The total spent was \$72.40. Let's subtract the estimated cost of the other items to find the remaining amount for the 1 flash drive:

$$ \$72.40 - \$56 \approx \$16.40 $$

• Since the other items cost "just under" their limit, their actual total is slightly less than \$56, meaning the flash drive cost is slightly more than \$16.40. Among the choices (\$5, \$16, \$28, \$55), \$16 is the closest estimate.

Answer:

Question 6

• 3 hours 50 minutes
• 4 hours 10 minutes
• 7 hours 50 minutes
• 8 hours 10 minutes (Correct answer)
• 13 hours 20 minutes

Question 7

• \(1\frac{1}{4}\)
• \(2\frac{1}{4}\) (Correct answer)
• \(2\frac{1}{2}\)
• \(5\frac{3}{4}\)

Question 8

• \$5
• \$16 (Correct answer)
• \$28
• \$55