Math 6 (Grade 6) Midterm — Semester 2, Form A
← Midterm Library / Math / Math 6
Free printable Math 6 midterm (Grade 6): 15 multiple-choice questions plus 1 written response covering Expressions, Equations & Inequalities, Geometry & Statistics. Answer key included — customize it in the Midterm Maker.
Math 6 (Grade 6) Midterm — Semester 2, Form A
Name: Date: Period:
Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.
Covers: Expressions · Equations & Inequalities · Geometry & Statistics
Part 1: Multiple Choice
-
What is the value of 5^3?
- A. 15
- B. 53
- C. 25
- D. 125
-
In the expression 7y + 2, what is the coefficient?
- A. y
- B. 9
- C. 7
- D. 2
-
What is the value of 2^3 + 4 × 3?
- A. 18
- B. 36
- C. 15
- D. 20
-
What is the value of (12 − 4) ÷ 2 + 3^2?
- A. 7
- B. 13
- C. 19
- D. 10
-
Which expression represents "five less than twice a number n"?
- A. 2n − 5
- B. 5n − 2
- C. 5 − 2n
- D. 2(n − 5)
-
Is x = 5 a solution of 3x − 4 = 11?
- A. No, because 3(5) − 4 = 7
- B. No, because 3(5) − 4 = 19
- C. Yes, because 3 + 5 − 4 = 11
- D. Yes, because 3(5) − 4 = 11
-
Solve: 6y = 54
- A. y = 9
- B. y = 60
- C. y = 324
- D. y = 48
-
Solve: x/4 = 7
- A. x = 3
- B. x = 28
- C. x = 11
- D. x = 1.75
-
Solve: x + 9 = 23
- A. x = 14
- B. x = 2
- C. x = 32
- D. x = 207
-
Which value of x makes the inequality x + 7 > 12 true?
- A. 4
- B. 5
- C. 6
- D. 0
-
What is the area of a parallelogram with a base of 8 cm and a height of 5 cm?
- A. 40 square cm
- B. 20 square cm
- C. 13 square cm
- D. 26 square cm
-
What is the volume of a rectangular prism that is 3 ft long, 4 ft wide, and 1/2 ft tall?
- A. 7.5 cubic feet
- B. 12 cubic feet
- C. 6 cubic feet
- D. 3 cubic feet
-
What is the median of the data set 12, 5, 9, 15, 7, 10?
- A. 10
- B. 12
- C. 9.5
- D. 9
-
What is the area of a triangle with a base of 10 units and a height of 6 units?
- A. 30 square units
- B. 16 square units
- C. 60 square units
- D. 36 square units
-
What is the mean absolute deviation (MAD) of the data set 2, 4, 6, 8?
- A. 6
- B. 4
- C. 2
- D. 5
Part 2: Written Response
- Write two different expressions equivalent to 4(3x + 2). Prove they are equivalent by using properties of operations and by substituting a value for x.
Answer Key — Math 6 (Grade 6) Midterm — Semester 2, Form A
- D — 125 5 × 5 × 5 = 125.
- C — 7 The coefficient is the number multiplied by the variable.
- D — 20 Exponent first: 8; then 4 × 3 = 12; 8 + 12 = 20.
- B — 13 8 ÷ 2 = 4; 3^2 = 9; 4 + 9 = 13.
- A — 2n − 5 Twice n is 2n; five less than that is 2n − 5.
- D — Yes, because 3(5) − 4 = 11 Substitute: 3 × 5 = 15 and 15 − 4 = 11.
- A — y = 9 Divide both sides by 6: 54 ÷ 6 = 9.
- B — x = 28 Multiply both sides by 4: 7 × 4 = 28.
- A — x = 14 Subtract 9 from both sides: 23 − 9 = 14.
- C — 6 6 + 7 = 13, and 13 > 12. Note 5 + 7 = 12 is not greater than 12.
- A — 40 square cm A = b × h = 8 × 5 = 40.
- C — 6 cubic feet V = l × w × h = 3 × 4 × 1/2 = 6.
- C — 9.5 Ordered: 5, 7, 9, 10, 12, 15. Middle two average: (9 + 10) ÷ 2 = 9.5.
- A — 30 square units A = 1/2 × b × h = 1/2 × 10 × 6 = 30.
- C — 2 Mean is 5; distances are 3, 1, 1, 3; average distance is 8 ÷ 4 = 2.
Written Response — Look-Fors
- Expressions such as 12x + 8; names the distributive property; substitution check showing equal values.