All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Test **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Chapter 8 Test Answer Key

**Solve.**

Question 1.

Jack has \(\frac{1}{2}\) of a sandwich. He wants to give it to 4 friends and give each an equal amount. How much of the sandwich will each friend get?

Answer:

Quantity of sandwich each friend gets = \(\frac{1}{8}\) or 0.125.

Explanation:

Quantity of a sandwich Jack has = \(\frac{1}{2}\)

Number of friends he gives it = 4.

Quantity of sandwich each friend gets = Quantity of a sandwich Jack has ÷ Number of friends he gives it

= \(\frac{1}{2}\) ÷ 4

= \(\frac{1}{8}\) or 0.125.

Question 2.

Tammy has \(\frac{1}{4}\) of a cucumber. She wants to give it to 3 friends and give each friend an equal amount. How much of the cucumber should each friend get?

Answer:

Quantity of the cucumber each friend gets = \(\frac{1}{12}\) or 0.83.

Explanation:

Quantity of a cucumber Tammy has = \(\frac{1}{4}\)

Number of friends she wants to give it = 3.

Quantity of the cucumber each friend gets = Quantity of a cucumber Tammy has ÷ Number of friends she wants to give it

= \(\frac{1}{4}\) ÷ 3

= \(\frac{1}{12}\) or 0.83.

Question 3.

Maggie has a pail that can hold 4 gallons of water. If she uses a cup that can hold \(\frac{1}{4}\) of a gallon, how many cups of water will she need to fill the pail?

Answer:

Number of cups of water she needs to fill the pail = 16.

Explanation:

umber of gallons of water Maggie has a pail that can hold = 4.

Number of gallons of water she uses a cup that can hold = \(\frac{1}{4}\)

Number of cups of water she needs to fill the pail = Number of gallons of water Maggie has a pail that can hold ÷ Number of gallons of water she uses a cup that can hold

= 4 ÷ \(\frac{1}{4}\)

= 4 × 4

= 16.

Question 4.

Amy has a box that can hold 6 kilograms of sand, If she uses a scoop that can hold \(\frac{1}{5}\) of a kilogram, how many scoops of sand will she need to fill the box?

Answer:

Number of scoops of sand she needs to fill the box = 30.

Explanation:

Number of kilograms of sand Amy has a box that can hold = 6.

Number of kilograms of a scoop she uses that can hold = \(\frac{1}{5}\)

Number of scoops of sand she needs to fill the box = Number of kilograms of sand Amy has a box that can hold ÷ Number of kilograms of a scoop she uses that can hold

= 6 ÷ \(\frac{1}{5}\)

= 6 × 5

= 30.

Question 5.

Julio solved \(\frac{1}{3}\) ÷ 5. The quotient is \(\frac{1}{15}\). Write the equation he can use to check his answer.

Answer:

Check: he can use:

=> \(\frac{1}{15}\) × 5 = \(\frac{1}{3}\).

Explanation:

Equation Julio solved = \(\frac{1}{3}\) ÷ 5.

The quotient is \(\frac{1}{15}\).

Check:

Quotient × Divisor = Dividend.

=> \(\frac{1}{15}\) × 5 = \(\frac{1}{3}\).

**Find each quotient. Use multiplication to check your answers.**

Question 6.

\(\frac{1}{4}\) ÷ 5 = _____________

Answer:

\(\frac{1}{4}\) ÷ 5 = \(\frac{1}{20}\)

Explanation:

\(\frac{1}{4}\) ÷ 5 = \(\frac{1}{4}\) × \(\frac{1}{5}\)

= \(\frac{1}{20}\)

Question 7.

\(\frac{1}{3}\) ÷ 6 = _____________

Answer:

\(\frac{1}{3}\) ÷ 6 = \(\frac{1}{18}\)

Explanation:

\(\frac{1}{3}\) ÷ 6 = \(\frac{1}{3}\) × \(\frac{1}{6}\)

= \(\frac{1}{18}\)

Question 8.

\(\frac{1}{2}\) ÷ 7 = _____________

Answer:

\(\frac{1}{2}\) ÷ 7 = \(\frac{1}{14}\)

Explanation:

\(\frac{1}{2}\) ÷ 7 = \(\frac{1}{2}\) × \(\frac{1}{7}\)

= \(\frac{1}{14}\)

Question 9.

6 ÷ \(\frac{1}{4}\) = _____________

Answer:

6 ÷ \(\frac{1}{4}\) = 24.

Explanation:

6 ÷ \(\frac{1}{4}\) = 6 × 4

= 24.

Question 10.

4 ÷ \(\frac{1}{5}\) = _____________

Answer:

4 ÷ \(\frac{1}{5}\) = 20.

Explanation:

4 ÷ \(\frac{1}{5}\) = 4 × 5

= 20.

Question 11.

5 ÷ \(\frac{1}{2}\) = _____________

Answer:

5 ÷ \(\frac{1}{2}\) = 10.

Explanation:

5 ÷ \(\frac{1}{2}\) = 5 × 2

= 10.

**Solve.**

Question 12.

The Lane family eats \(\frac{1}{3}\) of a box of turkey burgers each week. Mrs. Lane goes to a store that has 72 boxes of turkey burgers for sale. The shop has 68 boxes left after Mrs. Lane buys some. How many weeks will it take the family to eat all the turkey burgers Mrs. Lane bought?

Answer:

Number of weeks it takes the family to eat all the turkey burgers Mrs. Lane bought = 12.

Explanation:

Quantity of a box of turkey burgers each week the Lane family eats = \(\frac{1}{3}\)

Number of boxes of turkey burgers for sale Mrs. Lane goes to a store that has = 72.

Number of boxes of turkey burgers left after Mrs. Lane buys some = 68.

Number of boxes of turkey burgers Mrs. Lane buys = Number of boxes of turkey burgers for sale Mrs. Lane goes to a store that has – Number of boxes of turkey burgers left after Mrs. Lane buys some

= 72 – 68

= 4.

Number of weeks it takes the family to eat all the turkey burgers Mrs. Lane bought = Number of boxes of turkey burgers Mrs. Lane buys ÷ Quantity of a box of turkey burgers each week the Lane family eats

= 4 ÷ \(\frac{1}{3}\)

= 4 × 3

= 12.