7th Grade Summer Math Practice

Welcome to 7th Grade IB MYP Mathematics.

Before the start of the year, you need to practice your math through the completion of these problems.

  1. Conversion between fractions, decimals, mixed numbers, and percents
    1. Rewrite as a fraction in simplest form:
      1. 0.68
         
      2. 0.385
         
      3. 2 1⁄3
         
      4. 48%
         
      5. 17%
         
    2. Rewrite as a decimal, rounded to the nearest hundredth:
      1. 4⁄5
         
      2. 3⁄7
         
      3. 3 2⁄3
         
      4. 22%
         
      5. 53.2%
         
    3. Rewrite as a percent:
      1. 3⁄4
      2. 5⁄6
      3. 0.73
      4. 0.675
      5. 1.2
         
    4. Rewrite as a mixed number:
      1. 19⁄4
         
      2. 12.07
         
      3. 225%
         
  2. Operations with rational numbers
    1. Order the following numbers from least to greatest:
      1. 101⁄3;  9;  10.5
         
      2. 0.237;  1⁄4;  24%
         
      3. 72;  0.713;  3⁄4;  2⁄3
         
      4. 2.002;  3;  1.9;  0.5;  3.01
         
    2. Find the greatest common factor:
      1. 16  and  48
         
      2. 12  and  64
         
    3. Find the least common denominator:
      1. 3⁄15  and  1⁄8
         
      2. 7⁄12  and  4⁄9
         
    4. Solve:
      1. 2⁄3  +  1⁄2  +  3⁄4  =
         
      2. 3⁄4  -  1⁄3  =
         
      3. 5  -  21⁄3  =
         
      4. 3⁄4  ×  1⁄2  x   2⁄9  =
         
      5. 31⁄7  ×  1⁄2  =
         
      6. 4⁄5  ÷  1⁄2  =
         
      7. 3⁄4  ÷  1⁄4  =
         
      8. 5⁄8  ÷  15⁄16  =
         
      9. 33⁄7  ÷  8⁄11  =
         
      10. 6.001  +  2.1  +  4  +  0.01  =
         
      11. 5.2  -  1.1  =
         
      12. 8  -  5.02  =
         
      13. 2.14  ×  3.2  =
         
      14. 7  ÷  2.5  =
         
      15. 4.5  ÷  0.75  =
         
      16. 9.12  ÷  2.4  =
         
  3. Word Problems

    1. Maria has 40 stamps. She gave half of them to her sister, and then she gave half of what was left to her brother. How many stamps did Maria have after she gave her brother and sister stamps?

    2. If Shelly paid $ 24.45 for three blu-rays movies, how much did each blu-ray movie cost?

    3. Joanna’s test scores in her Italian class were 80; 70; 50; 40; 90; 100. What is her mean score?

    4. John bought four blu-ray movies on sale. The prices were $5.98, $6.50, $8.99 and $7.68.

      1. How much were the four blue-ray movies?
         
      2. If John gave the cashier two twenty dollar bills, how much was his change?
         

    5. Marcus grew half an inch per month last summer. If he was 62 inches at the beginning of the summer, how tall was he after 3 months?

    6. A rope can hold a weight of 200 before breaking. If a box holds several items weighing 55 1⁄2 lbs, 44 2⁄3 lbs, 70 1⁄4 lbs, how much more weight can you add to the box before the rope breaks?