CAASPP Number Sense 3 — Questions and Answers
Question 1: Which number is a perfect square?
- 49 (Correct answer)
- 50
- 45
- 48
Correct answer: 49
49 = 7², so it is a perfect square.
Question 2: What is the prime factorization of 72?
- 2³ × 3² (Correct answer)
- 2² × 3³
- 2 × 36
- 8 × 9
Correct answer: 2³ × 3²
72 = 8 × 9 = 2³ × 3², which uses only prime factors.
Question 3: A store marks up a $40 item by 15%. What is the new price?
- $46 (Correct answer)
- $44
- $55
- $41.50
Correct answer: $46
15% of $40 is $6, so the new price is $40 + $6 = $46.
Question 4: Which fraction is equivalent to 0.6?
- 3/5 (Correct answer)
- 2/3
- 6/100
- 1/6
Correct answer: 3/5
0.6 = 6/10 = 3/5 after simplifying by dividing numerator and denominator by 2.
Question 5: What is the least common multiple (LCM) of 4 and 6?
- 12 (Correct answer)
- 24
- 6
- 18
Correct answer: 12
Multiples of 4: 4, 8, 12… Multiples of 6: 6, 12… The smallest common multiple is 12.
Question 6: Evaluate: −8 + (−3) × 2
- −14 (Correct answer)
- −22
- 2
- −11
Correct answer: −14
Using order of operations: (−3) × 2 = −6 first, then −8 + (−6) = −14.
Question 7: A recipe calls for 2/3 cup of sugar. If you make 1.5 batches, how much sugar do you need?
- 1 cup (Correct answer)
- 3/4 cup
- 1 1/3 cups
- 2 cups
Correct answer: 1 cup
2/3 × 1.5 = 2/3 × 3/2 = 6/6 = 1 cup.
Which number is a perfect square?