Math 6 (Grade 6) Midterm — Semester 1, Form A
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Free printable Math 6 midterm (Grade 6): 15 multiple-choice questions plus 1 written response covering Ratios & Rates, Fractions & Decimals, Integers & Rational Numbers. Answer key included — customize it in the Midterm Maker.
Math 6 (Grade 6) Midterm — Semester 1, Form A
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 · Integers & Rational Numbers
Part 1: Multiple Choice
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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
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A $40 shirt is on sale for 25% off. What is the sale price?
- A. $15
- B. $35
- C. $10
- D. $30
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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
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How many inches are in 3.5 feet?
- A. 38
- B. 35
- C. 42
- D. 45
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Which ratio is equivalent to 6:9?
- A. 3:2
- B. 3:4
- C. 2:3
- D. 1:3
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What is 4.56 + 12.3?
- A. 5.79
- B. 16.86
- C. 17.86
- D. 16.59
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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
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What is 2/3 ÷ 4/9?
- A. 8/27
- B. 1 1/2
- C. 6
- D. 2/3
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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)
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What is the greatest common factor (GCF) of 24 and 36?
- A. 72
- B. 12
- C. 4
- D. 6
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Which statement is true?
- A. −5 > −8
- B. −8 > −5
- C. |−5| > |−8|
- D. −5 < −8
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A diver is at an elevation of −30 feet. What does this mean?
- A. The diver is 30 feet above sea level.
- B. The diver is at sea level.
- C. The diver is 30 feet below sea level.
- D. The diver is 3 feet below sea level.
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The point (4, −2) is reflected across the x-axis. What are the coordinates of its image?
- A. (−4, 2)
- B. (2, 4)
- C. (4, 2)
- D. (−4, −2)
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What is |−12|?
- A. 0
- B. 1/12
- C. 12
- D. −12
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What is the distance between the points (2, −4) and (2, 6)?
- A. 8 units
- B. 4 units
- C. 2 units
- D. 10 units
Part 2: Written Response
- A store sells 3 packs of pencils for $4.50. Make a ratio table showing the cost of 1, 3, 6, and 10 packs. Then explain how you found the unit price.
Answer Key — Math 6 (Grade 6) Midterm — Semester 1, Form A
- 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 — 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.
- A — −5 > −8 −5 is to the right of −8 on a number line.
- C — The diver is 30 feet below sea level. Negative elevation means below sea level.
- C — (4, 2) Reflecting across the x-axis changes the sign of the y-coordinate.
- C — 12 Absolute value is distance from 0, so |−12| = 12.
- D — 10 units Same x-value, so distance is |6 − (−4)| = 10.
Written Response — Look-Fors
- Unit price $1.50; table values $1.50, $4.50, $9.00, $15.00; clear explanation using division or scaling.