Day 060Unit 4 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 3 (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
The ratio of oak trees to pine trees is 7:4. There are 44 trees altogether. Draw a tape diagram and find each count.
- Previous unit review
Draw aligned number lines for 4 liters of paint covering 5 square meters. Mark 0, one batch, and 2 batches. How much area do 8 liters cover?
- Previous unit review
The ratio of oak trees to pine trees is 3:2. There are 15 trees altogether. Draw a tape diagram and find each count.
- Previous unit review
Convert 9 feet to yards. Show the conversion ratio.
- Current unit
4 identical notebooks cost $16. Find the cost per notebook.
- Current unit
5 identical notebooks cost $35. Find the cost per notebook.
- Current unit
A cyclist travels 90 km in 6 hours at constant speed. Find the speed.
- Current unit
A bus travels at 35 km/h. How long does 105 km take?
- Current unit
Pack A has 7 markers for $28; Pack B has 9 markers for $40.5. Find each unit price and the better buy.
- Current unit
Pack A has 5 markers for $20; Pack B has 8 markers for $36. Find each unit price and the better buy.
- Current unit
Write 30% as a simplified fraction and decimal.
- Current unit
Find 75% of 220.
- Current unit
Find 5% of 240.
- Current unit
60 students are 60% of a school’s enrollment. Find the enrollment.
- Current unit
16 is what percent of 40? State which quantity is the reference whole.
- Current unit
44 students are 20% of a school’s enrollment. Find the enrollment.
- Current unit
5 identical notebooks cost $17.5. Find the cost per notebook and the cost of 8 notebooks at this rate.
- Current unit
3 identical notebooks cost $12. Find the cost per notebook and the cost of 6 notebooks at this rate.
- Current unit
A cyclist travels 40 km in 1 hours at constant speed. Find the speed and the distance in 5 hours.
- Current unit
A bus travels at 20 km/h. How long does 70 km take?
Answers and reasoning
Reveal the teacher answer key
- 28 oaks and 16 pines
11 equal sections total; each section is 44 ÷ 11 = 4.
- 10 square meters; aligned pairs (0,0), (4,5), (8,10)
8 ÷ 4 = 2 batches; 2 × 5 = 10.
- 9 oaks and 6 pines
5 equal sections total; each section is 15 ÷ 5 = 3.
- 3 yards
9 ÷ 3 = 3; 1 yards = 3 feet.
- $4 per notebook
Unit rate = 16 ÷ 4 = 4 dollars per notebook.
- $7 per notebook
Unit rate = 35 ÷ 5 = 7 dollars per notebook.
- 15 km/h
Speed = 90 ÷ 6 = 15; distance = speed × time.
- 3 hours
Time = distance ÷ speed = 105 ÷ 35 = 3.
- A $4/marker; B $4.5/marker; A is cheaper
Divide each price by its marker count; compare 4 with 4.5.
- A $4/marker; B $4.5/marker; A is cheaper
Divide each price by its marker count; compare 4 with 4.5.
- 3/10; 0.3
30% = 30/100 = 3/10; divide by 100 for 0.3.
- 165
75/100 × 220 = 165.
- 12
5/100 × 240 = 12.
- 100
Whole = 60 ÷ 3/5 = 100. Check 60% × 100 = 60.
- 40%
16 ÷ 40 × 100 = 40%; the reference whole is 40.
- 220
Whole = 44 ÷ 1/5 = 220. Check 20% × 220 = 44.
- $3.5 per notebook; $28
Unit rate = 17.5 ÷ 5 = 3.5 dollars per notebook.
- $4 per notebook; $24
Unit rate = 12 ÷ 3 = 4 dollars per notebook.
- 40 km/h; 200 km
Speed = 40 ÷ 1 = 40; distance = speed × time.
- 7/2 hours
Time = distance ÷ speed = 70 ÷ 20 = 7/2.