Students identify the expression for a word problem involving a product of two differences, determine a true statement about an expression without computing, and evaluate a two-parentheses product. Part B has five fill-in-the-blank problems evaluating multi-operation parenthetical expressions.
Multi-step expression evaluation and comparative reasoning — including identifying which multiplicative statement is true without calculating — are the highest-order numerical expression skills at Grade 5.
Style:
Numerical Expressions
Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression represents: Multiply the sum of 9 and 6 by the difference of 10 and 3?
A) (9 + 6) × (10 − 3)
B) (9 × 6) + (10 − 3)
C) 9 + 6 × 10 − 3
D) (9 + 6) + (10 × 3)
2. Without calculating, which statement about 12 × (8 + 15) is true?
A) It is 12 more than (8 + 15)
B) It is 12 times as large as (8 + 15)
C) It equals 12 × 8 + 15
D) It is half of (8 + 15)
3. What is the value of (4 + 6) × (30 ÷ 5)?
A) 16
B) 60
C) 50
D) 36
4. Which expression has the greatest value? A = 5×(7+3), B = 4×(7+3), C = 6×(7+3), D = 3×(7+3)
A) A = 5 × (7 + 3)
B) B = 4 × (7 + 3)
C) C = 6 × (7 + 3)
D) D = 3 × (7 + 3)
Part B: Fill in the Blank
Write the correct answer on each line.
1. Evaluate: (3 + 7) × (12 − 4) = 80
2. Evaluate: (48 ÷ 6) + (5 × 3) = 23
3. Evaluate: (9 × 4) − (20 ÷ 5) = 32
4. Write an expression: Find the product of the sum of 11 and 5 and the difference of 9 and 3. Answer: (11 + 5) × (9 − 3)
5. Evaluate: (11 + 5) × (9 − 3) = 96
Numerical Expressions
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression represents: Multiply the sum of 9 and 6 by the difference of 10 and 3?
A) (9 + 6) × (10 − 3)
B) (9 × 6) + (10 − 3)
C) 9 + 6 × 10 − 3
D) (9 + 6) + (10 × 3)
2. Without calculating, which statement about 12 × (8 + 15) is true?
A) It is 12 more than (8 + 15)
B) It is 12 times as large as (8 + 15)
C) It equals 12 × 8 + 15
D) It is half of (8 + 15)
3. What is the value of (4 + 6) × (30 ÷ 5)?
A) 16
B) 60
C) 50
D) 36
4. Which expression has the greatest value? A = 5×(7+3), B = 4×(7+3), C = 6×(7+3), D = 3×(7+3)
A) A = 5 × (7 + 3)
B) B = 4 × (7 + 3)
C) C = 6 × (7 + 3)
D) D = 3 × (7 + 3)
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) Evaluate: (3 + 7) × (12 − 4) = 80
2) Evaluate: (48 ÷ 6) + (5 × 3) = 23
3) Evaluate: (9 × 4) − (20 ÷ 5) = 32
4) Write an expression: Find the product of the sum of 11 and 5 and the difference of 9 and 3. Answer: (11 + 5) × (9 − 3)
5) Evaluate: (11 + 5) × (9 − 3) = 96
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9 Questions
12-18 minutes
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