a. ½ ÷ ⅓ =n, n = 1 ½ HINT! Think: What is being shared?
b. ½ ÷ 3 = n, n = 1/6 How many is it being shared by?
c. 3 ÷ ½ = n, n = 6
d. 3 ÷ 2 = n, n = 3/2
2. Miss Kay made 4 sweet potato pies for dessert. She cut each pie into eighths to share with her family. How many ⅛ pieces was she able to serve to her family? Prove your answer with a sketch.
3. Willie has ¼ of a box of duck calls to ship to customers. He needs to share the duck calls equally between 3 customers. What fraction of the duck calls will each customer get? Prove your answer with a sketch.
4. Annie’s mom has a spool of blue ribbon that is 4 feet long. Annie’s mom was able to make 8 smaller ribbons from that for Annie’s cheerleading squad. How long was each smaller ribbon? Prove your answer with a sketch.
HINT –ask yourself these questions to help find the answer: What did Annie’s mom start with? How many pieces did she cut? Sketch the ribbon using 4 rectangles.. Divide each rectangle so that you end up with 8 smaller rectangles. What did you have to do to each rectangle to get 8 smaller rectangles?
5. Which story can be represented by the equation, 6 ÷ ¼ = 24?
Prove your answer with a sketch.
a. Jeb has a piece of wood that is ¼ of a yard. He wants to make six shelves from it. How long will each shelf be?
b. Jeb has 6 pieces of wood. Each piece is ¼ of a foot long. How many feet of wood does Jeb have in all?
c. Jeb has a piece of wood that is 6 feet long. He cuts it into pieces that are ¼ foot long. How many pieces of wood did Jeb cut in all?
d. Jeb has a piece of wood that is 6 feet long. He cuts it into 4 pieces. How many feet long is each piece of wood?
6. Korie made a pan of brownies. She shared ½ of the pan with four friends. What diagram could be used to find the fraction of the whole pan that Korie gave to each friend? – TEACHER NOTES….SHADE THE RECTANGLES ACCORDING TO THE FRACTIONS BEFORE PRINTING OFF THE TEST.
shade 1/8.a.
shade 4/8 b.
shade 2/4 c.
shade each rectangle ½ d.
Briefly explain in words or a sketch why you chose your answer.
7. Which story problem represents this math equation? ½ ÷ 4 = ⅛. Sketch your answer.
a. Lily had some candy that she shared with four friends. Each friend ate ½ of their candy and saved the rest. How much candy did Lily start with?
b. Lily gave ½ of her candy to her four cousins. What portion of Lily’s candy did each cousin get?
c. Lily planted four flowers in her flower pot. One-half of the flowers were daisies. How many flowers were daisies?
d. Lily had ½ of a pizza that was cut into eighths. If she gave ¼ of it to her sister, and ate the rest, what portion did Lily eat?
8. Suppose you have ½ of a dozen eggs. If you divide ½ dozen eggs by 2, what statement would be true? Explain your answer using words or a sketch.
a. The answer will be greater than the ½ dozen.
b. The answer will be less than the ½ dozen.
c. The answer will be equal to the ½ dozen.
d. The answer will be one.
9. Which is a true statement? Explain your answer in words or a sketch.
a. 3 ÷ ⅓ = 3
b. 3 ÷ ⅓ < 3
c. 3 ÷ ⅓ > 3
d. 3 ÷ ⅓ = 0
10.Find the quotient of 4 ÷ (2 ÷ ½ ). Show your work. HINT: REMEMBER PEMDAS!
11.Use the number line below to show the math equation, 5 ÷ ½ = 10.
TEACHER NOTES: These are spiral review questions from previous 9 weeks.
12. One-half of the cars in the parking lot are white. One-fourth of the white cars are SUV’s. What portion of the cars in the parking lot are white SUV’s?
Prove your answer with a sketch.
a. ½ ÷ ¼ = 2.
b. ¼ x ½ = ⅛
c. ½ + ¼ = ¾
d. ½ - ¼ = ¼
13. What is the area of a garden that has a width of ⅔ yard and a length of 2 ⅓ yards? Sketch a model to show your answer.
a. ⅔ + 2 ⅓ = 3 yards.
b. ⅔ + ⅔ + 2 ⅓ + 2 ⅓ = 6 yards.
c. ⅔ x 2 ⅓ = 1 5/9 yards.
d. ⅔ x 2 ⅓ = 2 2/9 yards.
14. Carly walked 2 ⅞ miles. Jackson walked 1 ¼ miles. How much further did Carly walk than Jackson? Briefly explain your reasoning in words.
- 2 ⅞ - 1 ¼ = 1 6/8 miles
- 2 ⅞ - 1 ¼ = 1 5/8 miles
- 2 ⅞ + 1 ¼ = 4 miles
- 2 ⅞ + 1 ¼ = 4 1/8 miles.
15. Five friends shared four pizzas equally between themselves. What fraction of the pizzas did each friend get? Prove your answer with a sketch.