Day 030Unit 2 Test
I can apply the skills taught so far, show my reasoning, and check my answers.
Show what you know
Questions 1–4 review Unit 1 (20%). The remaining 16 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.
Unit Test
Begin with the review questions, then continue through the current-unit questions.
- Previous unit review
Use the standard algorithm: 57.2 + 5.4. Show your regrouping or division steps.
- Previous unit review
Use the standard algorithm: 24.7 × 8.6. Show your regrouping or division steps.
- Previous unit review
Find the GCF of 6 and 9. Show factor pairs or prime factors.
- Previous unit review
Use long division: 3,190 ÷ 22. Show the algorithm and check.
- Current unit
Calculate 3/4 × 1/4. Simplify.
- Current unit
Calculate 1 1/2 × 1 1/2. Simplify.
- Current unit
Draw a bar partitioned into 12 equal parts. Shade 11 parts. Circle groups of 10 parts. Use the model to find 11/12 ÷ 5/6.
- Current unit
Draw a bar partitioned into 4 equal parts. Shade 2 parts. Circle groups of 2 parts. Use the model to find 1/2 ÷ 1/2.
- Current unit
Calculate 7/8 ÷ 3/2. Simplify.
- Current unit
Calculate 1/2 ÷ 5/4. Simplify.
- Current unit
Calculate 3 ÷ 1 2/3. Simplify.
- Current unit
Calculate 5 ÷ 2 1/4. Simplify.
- Current unit
A ribbon is 2 m long. Each piece is 2 m. How many piece-lengths are in the ribbon? Include any fractional piece.
- Current unit
A jug contains 1/3 L. Each full bottle needs 4/5 L. How many full bottles can be filled, and how much liquid remains?
- Current unit
The equation 1 × n = 7/8 represents equally sized portions. Find n, write the related division equation, and check.
- Current unit
Calculate 1/2 ÷ 1/3. Simplify and explain why your answer is reasonable.
- Current unit
Calculate 5/8 × 1/2. Simplify and explain why your answer is reasonable.
- Current unit
Calculate 1 1/2 × 2 1/2. Simplify and explain why your answer is reasonable.
- Current unit
Draw a bar partitioned into 6 equal parts. Shade 3 parts. Circle groups of 2 parts. Use the model to find 1/2 ÷ 1/3. Explain the partial group.
- Current unit
Draw a bar partitioned into 4 equal parts. Shade 4 parts. Circle groups of 1 parts. Use the model to find 1 ÷ 1/4. Explain the partial group.
Answers and reasoning
Reveal the teacher answer key
- 62.6
Align decimal points; 57.2 + 5.4 = 62.6.
- 212.42
Compute the whole-number product and restore decimal places: 24.7 × 8.6 = 212.42.
- 3
Common factors: 1, 3; greatest is 3.
- 145
31 ÷ 22: write 1, subtract 22, remainder 9; bring down the next digit: 99 ÷ 22: write 4, subtract 88, remainder 11; bring down the next digit: 110 ÷ 22: write 5, subtract 110, remainder 0. Check: 22 × 145 = 3190.
- 3/16
3/4 × 1/4 = 3/16.
- 9/4
3/2 × 3/2 = 9/4.
- 11/10
Each small part is 1/12; 11 shaded parts divided into groups of 10 gives 11/10 = 11/10 groups.
- 1
Each small part is 1/4; 2 shaded parts divided into groups of 2 gives 2/2 = 1 groups.
- 7/12
7/8 ÷ 3/2 = 7/8 × 2/3 = 7/12.
- 2/5
1/2 ÷ 5/4 = 1/2 × 4/5 = 2/5.
- 9/5
3 ÷ 5/3 = 3 × 3/5 = 9/5.
- 20/9
5 ÷ 9/4 = 5 × 4/9 = 20/9.
- 1 piece-lengths
2 ÷ 2 = 2 × 1/2 = 1.
- 0 bottles; 1/3 L left
1/3 ÷ 4/5 = 1/3 × 5/4 = 5/12. Only whole bottles count; subtract the liquid used.
- n = 7/8; 7/8 ÷ 1 = 7/8
7/8 ÷ 1 = 7/8 × 1 = 7/8. Check: 1 × 7/8 = 7/8.
- 3/2
1/2 ÷ 1/3 = 1/2 × 3 = 3/2.
- 5/16
5/8 × 1/2 = 5/16.
- 15/4
3/2 × 5/2 = 15/4.
- 3/2
Each small part is 1/6; 3 shaded parts divided into groups of 2 gives 3/2 = 3/2 groups.
- 4
Each small part is 1/4; 4 shaded parts divided into groups of 1 gives 4/1 = 4 groups.