SBAC - Smarter Balanced Assessment Consortium Math Grade 5 Fractions and Decimals 1 — Questions and Answers
Question 1: What is 2/3 × 3/5?
- 2/5 (Correct answer)
- 1/2
- 6/8
- 5/8
Correct answer: 2/5
Multiply numerators and denominators separately: (2×3)/(3×5) = 6/15, then simplify by dividing both by 3 to get 2/5.
Question 2: What is 1.25 + 0.75?
- 1.90
- 2.00 (Correct answer)
- 2.10
- 1.75
Correct answer: 2.00
Line up the decimal points and add: 1.25 + 0.75 = 2.00. The tenths digits (2+7=9→carry) and hundredths digits (5+5=10) combine to give exactly 2.
Question 3: What is 3/4 ÷ 1/2?
- 3/8
- 1 1/4
- 1 1/2 (Correct answer)
- 2
Correct answer: 1 1/2
Dividing by a fraction means multiplying by its reciprocal: 3/4 × 2/1 = 6/4 = 3/2 = 1 1/2.
Question 4: Which fraction is equivalent to 0.45?
- 4/5
- 9/20 (Correct answer)
- 1/4
- 45/10
Correct answer: 9/20
0.45 means 45 hundredths, or 45/100. Simplify by dividing numerator and denominator by 5: 45÷5 = 9, 100÷5 = 20, giving 9/20.
Question 5: What is 2.5 − 1.75?
- 0.75 (Correct answer)
- 0.85
- 1.25
- 0.65
Correct answer: 0.75
Rewrite 2.5 as 2.50, then subtract: 2.50 − 1.75 = 0.75. Subtract hundredths (0−5, borrow), tenths, then ones.
Question 6: A baker uses 1 1/3 cups of flour and 2/3 cup of sugar. How much more flour than sugar does the recipe require?
- 2/3 cup (Correct answer)
- 1/3 cup
- 1 cup
- 1 2/3 cups
Correct answer: 2/3 cup
Convert 1 1/3 to an improper fraction: 4/3. Then subtract: 4/3 − 2/3 = 2/3. The recipe needs 2/3 cup more flour than sugar.
SBAC - Smarter Balanced Assessment Consortium Math Grade 5 Fractions and Decimals 1
What is 2/3 × 3/5?