Day 015Unit 1 Test
I can apply the skills taught so far, show my reasoning, and check my answers.
Show what you know
Questions 1–4 review Grade 5 prerequisites (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 long division: 320 ÷ 4. Show the algorithm and check.
- Previous unit review
Use the standard algorithm: 86 + 4.6. Show your regrouping or division steps.
- Previous unit review
Use the standard algorithm: 93.4 - 2.7. Show your regrouping or division steps.
- Previous unit review
Calculate 2 × 1/2. Simplify.
- Current unit
Use long division: 375 ÷ 5. Show the algorithm and check.
- Current unit
Use long division: 714 ÷ 7. Show the algorithm and check.
- Current unit
Use the standard algorithm: 17 + 1.2. Show your regrouping or division steps.
- Current unit
Use the standard algorithm: 8.05 - 3. Show your regrouping or division steps.
- Current unit
Use the standard algorithm: 7.62 × 1.3. Show your regrouping or division steps.
- Current unit
Use the standard algorithm: 6.86 × 5.8. Show your regrouping or division steps.
- Current unit
Use the standard algorithm: 10.32 ÷ 2.4. Show your regrouping or division steps.
- Current unit
Use the standard algorithm: 26.56 ÷ 3.2. Show your regrouping or division steps.
- Current unit
Find the GCF of 60 and 84. Show factor pairs or prime factors.
- Current unit
Two lights flash together now, then every 2 and 12 seconds. When do they next flash together? Explain.
- Current unit
Factor 28 + 42 using its GCF. Make the inside numbers relatively prime.
- Current unit
Use long division: 4,964 ÷ 13. Show the algorithm and check.
- Current unit
Use long division: 8,301 ÷ 25. Show the algorithm and check.
- Current unit
A club has 1683 cards. Each full packet holds 16. How many full packets can it make, and how many cards remain?
- Current unit
A runner walks 5.56 km in the morning and 0.51 km later. What is the total distance?
- Current unit
A tank holds 4.04 L. A class uses 0.53 L. How much remains?
Answers and reasoning
Reveal the teacher answer key
- 80
32 ÷ 4: write 8, subtract 32, remainder 0; bring down the next digit: 0 ÷ 4: write 0, subtract 0, remainder 0. Check: 4 × 80 = 320.
- 90.6
Align decimal points; 86 + 4.6 = 90.6.
- 90.7
Align decimal points; 93.4 - 2.7 = 90.7.
- 1
2 × 1/2 = 1.
- 75
37 ÷ 5: write 7, subtract 35, remainder 2; bring down the next digit: 25 ÷ 5: write 5, subtract 25, remainder 0. Check: 5 × 75 = 375.
- 102
7 ÷ 7: write 1, subtract 7, remainder 0; bring down the next digit: 1 ÷ 7: write 0, subtract 0, remainder 1; bring down the next digit: 14 ÷ 7: write 2, subtract 14, remainder 0. Check: 7 × 102 = 714.
- 18.2
Align decimal points; 17 + 1.2 = 18.2.
- 5.05
Align decimal points; 8.05 - 3 = 5.05.
- 9.906
Compute the whole-number product and restore decimal places: 7.62 × 1.3 = 9.906.
- 39.788
Compute the whole-number product and restore decimal places: 6.86 × 5.8 = 39.788.
- 4.3
Multiply both numbers by 10: 103.2 ÷ 24 = 4.3. Check: 2.4 × 4.3 = 10.32.
- 8.3
Multiply both numbers by 10: 265.6 ÷ 32 = 8.3. Check: 3.2 × 8.3 = 26.56.
- 12
Common factors: 1, 2, 3, 4, 6, 12; greatest is 12.
- 12 seconds
The first positive multiple shared by 2 and 12 is 12.
- 14(2 + 3)
GCF = 14; 28 = 14 × 2 and 42 = 14 × 3.
- 381 R 11
49 ÷ 13: write 3, subtract 39, remainder 10; bring down the next digit: 106 ÷ 13: write 8, subtract 104, remainder 2; bring down the next digit: 24 ÷ 13: write 1, subtract 13, remainder 11. Check: 13 × 381 + 11 = 4964.
- 332 R 1
83 ÷ 25: write 3, subtract 75, remainder 8; bring down the next digit: 80 ÷ 25: write 3, subtract 75, remainder 5; bring down the next digit: 51 ÷ 25: write 2, subtract 50, remainder 1. Check: 25 × 332 + 1 = 8301.
- 105 full packets; 3 cards remain
1683 = 16 × 105 + 3.
- 6.07 km
Align decimal points; 5.56 + 0.51 = 6.07.
- 3.51 L
Align decimal points; 4.04 - 0.53 = 3.51.