Math 6 (Grade 6) Midterm — Units 1–2
← Midterm Library / Math / Math 6
Free printable Math 6 midterm (Grade 6): 20 multiple-choice questions plus 1 written response covering Ratios & Rates, Fractions & Decimals. Answer key included — customize it in the Midterm Maker.
Math 6 (Grade 6) Midterm — Units 1–2
Name: Date: Period:
Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.
Covers: Ratios & Rates · Fractions & Decimals
Part 1: Multiple Choice
-
The ratio of boys to girls in a class is 4:5. There are 36 students in all. How many are girls?
- A. 16
- B. 20
- C. 25
- D. 9
-
A $40 shirt is on sale for 25% off. What is the sale price?
- A. $15
- B. $35
- C. $10
- D. $30
-
Which is the better buy: 4 pounds of apples for $6.00 or 6 pounds for $8.40?
- A. They cost the same per pound.
- B. 6 pounds for $8.40, at $1.40 per pound
- C. 4 pounds for $6.00, at $1.50 per pound
- D. 6 pounds for $8.40, at $1.50 per pound
-
How many inches are in 3.5 feet?
- A. 38
- B. 35
- C. 42
- D. 45
-
Which ratio is equivalent to 6:9?
- A. 3:2
- B. 3:4
- C. 2:3
- D. 1:3
-
A runner runs 5 kilometers in 25 minutes. At the same rate, how many minutes will it take to run 8 kilometers?
- A. 28
- B. 40
- C. 35
- D. 45
-
What is 30% of 80?
- A. 24
- B. 240
- C. 2.4
- D. 50
-
18 is 25% of what number?
- A. 45
- B. 4.5
- C. 72
- D. 54
-
A car travels 150 miles in 3 hours at a constant speed. What is its unit rate?
- A. 450 miles per hour
- B. 45 miles per hour
- C. 60 miles per hour
- D. 50 miles per hour
-
A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 8 cups of sugar?
- A. 16
- B. 11
- C. 9
- D. 12
-
What is 4.56 + 12.3?
- A. 5.79
- B. 16.86
- C. 17.86
- D. 16.59
-
A ribbon 5 1/4 yards long is cut into pieces that are each 3/4 yard long. How many pieces are there?
- A. 4
- B. 8
- C. 7
- D. 6
-
What is 2/3 ÷ 4/9?
- A. 8/27
- B. 1 1/2
- C. 6
- D. 2/3
-
Which expression shows 36 + 48 rewritten using the greatest common factor and the distributive property?
- A. 24(1 + 2)
- B. 6(6 + 12)
- C. 12(3 + 4)
- D. 12(3 + 8)
-
What is the greatest common factor (GCF) of 24 and 36?
- A. 72
- B. 12
- C. 4
- D. 6
-
What is 9.6 ÷ 0.3?
- A. 3.2
- B. 320
- C. 32
- D. 0.32
-
What is 3 1/2 ÷ 1/4?
- A. 12
- B. 7/8
- C. 3/4
- D. 14
-
What is 12.5 − 4.78?
- A. 7.82
- B. 8.27
- C. 7.72
- D. 8.72
-
What is 7.2 × 0.5?
- A. 36
- B. 0.36
- C. 3.6
- D. 14.4
-
What is the least common multiple (LCM) of 6 and 8?
- A. 2
- B. 14
- C. 24
- D. 48
Part 2: Written Response
- A recipe calls for 2 3/4 cups of flour. You want to make half of the recipe. How much flour do you need? Show your work and explain each step.
Answer Key — Math 6 (Grade 6) Midterm — Units 1–2
- B — 20 36 ÷ 9 parts = 4 per part; 5 × 4 = 20 girls.
- D — $30 25% of 40 is 10; 40 − 10 = 30.
- B — 6 pounds for $8.40, at $1.40 per pound 6.00 ÷ 4 = 1.50 and 8.40 ÷ 6 = 1.40, so 6 pounds is cheaper.
- C — 42 3.5 × 12 = 42 inches.
- C — 2:3 Divide both terms by 3: 6:9 = 2:3.
- B — 40 25 ÷ 5 = 5 minutes per km; 5 × 8 = 40.
- A — 24 0.30 × 80 = 24.
- C — 72 18 ÷ 0.25 = 72.
- D — 50 miles per hour 150 ÷ 3 = 50 miles per hour.
- D — 12 3:2 = 12:8, since 8 ÷ 2 = 4 and 3 × 4 = 12.
- B — 16.86 Line up decimal points: 4.56 + 12.30 = 16.86.
- C — 7 21/4 ÷ 3/4 = 21/3 = 7.
- B — 1 1/2 2/3 × 9/4 = 18/12 = 1 1/2.
- C — 12(3 + 4) GCF is 12: 12 × 3 = 36 and 12 × 4 = 48.
- B — 12 Factors common to both: 1, 2, 3, 4, 6, 12. Greatest is 12.
- C — 32 Multiply both by 10: 96 ÷ 3 = 32.
- D — 14 7/2 × 4/1 = 28/2 = 14.
- C — 7.72 12.50 − 4.78 = 7.72.
- C — 3.6 72 × 5 = 360; two decimal places gives 3.60.
- C — 24 Multiples of 8: 8, 16, 24. 24 is the first divisible by 6.
Written Response — Look-Fors
- Correct answer 1 3/8 cups; converts to improper fraction or multiplies by 1/2; clear steps.