Check · Mid-year mixed set

1. 1.

   Sam has 4 red marbles and 9 blue marbles. Write the ratio of red to blue in simplest form.

   Answer. 4 : 9

   Red : blue = 4 : 9 = 4 : 9.

2. 2.

   Complete the equivalent ratio: 7 : 2 = 42 : ?

   A	B
   7	2
   42	?

   Answer. 12

   Multiply both parts by 6: 2 × 6 = 12.

3. 3.

   In Nora’s class, 4 students walk and 7 students bike. What is the part-to-whole ratio of walkers to the class, in simplest form?

   Answer. 4 : 11

   Walkers : class = 4 : 11 = 4 : 11.

4. 4.

   Grace has 6 red marbles and 5 blue marbles. Write the ratio of red to blue in simplest form.

   Answer. 6 : 5

   Red : blue = 6 : 5 = 6 : 5.

5. 5.

   Are the ratios 5 : 8 and 30 : 48 equivalent? Write a complete answer — Elena will compare with a partner.

   Answer. yes

   Both simplify to 5 : 8, so they are equivalent.

6. 6.

   In Mei’s class, 5 students walk and 3 students bike. What is the part-to-whole ratio of walkers to the class, in simplest form? Write a complete answer — Owen will compare with a partner.

   Answer. 5 : 8

   Walkers : class = 5 : 8 = 5 : 8.

7. 7.

   Mei has 6 red marbles and 8 blue marbles. Write the ratio of red to blue in simplest form. Write a complete answer — Ava will compare with a partner.

   Answer. 3 : 4

   Red : blue = 6 : 8 = 3 : 4.

8. 8.

   Are the ratios 2 : 7 and 6 : 21 equivalent? Write a complete answer — Priya will compare with a partner.

   Answer. yes

   Both simplify to 2 : 7, so they are equivalent.

9. 9.

   In Theo’s class, 8 students walk and 3 students bike. What is the part-to-whole ratio of walkers to the class, in simplest form? Write a complete answer — Priya will compare with a partner.

   Answer. 8 : 11

   Walkers : class = 8 : 11 = 8 : 11.

10. 10.

    Nora has 9 red marbles and 4 blue marbles. Write the ratio of red to blue in simplest form. Write a complete answer — Elena will compare with a partner.

    Answer. 9 : 4

    Red : blue = 9 : 4 = 9 : 4.

11. 11.

    Think

    Ava tried this problem:
    Complete the equivalent ratio: 4 : 5 = 24 : ?
    Ava wrote 60. That is not correct. What is the right answer?

    A	B
    4	5
    24	?

    Answer. 30

    Ava’s answer 60 is off. Multiply both parts by 6: 5 × 6 = 30.

12. 12.

    Think

    Theo tried this problem:
    In Nora’s class, 3 students walk and 8 students bike. What is the part-to-whole ratio of walkers to the class, in simplest form?
    Theo wrote -3 : 11. That is not correct. What is the right answer?

    Answer. 3 : 11

    Theo’s answer -3 : 11 is off. Walkers : class = 3 : 11 = 3 : 11.

Original extra practice. Keys are computed from the items, not guessed.