CAASPP Number Sense 4 — Questions and Answers
Question 1: Which number is irrational?
- √7 (Correct answer)
- √9
- 0.333…
- 7/2
Correct answer: √7
√7 cannot be expressed as a ratio of integers and has a non-repeating decimal, making it irrational.
Question 2: What is 5³?
- 125 (Correct answer)
- 15
- 25
- 243
Correct answer: 125
5³ = 5 × 5 × 5 = 125.
Question 3: Which value of x makes the equation 4x + 3 = 19 true?
- 4 (Correct answer)
- 5
- 3
- 6
Correct answer: 4
Subtract 3 from both sides: 4x = 16; divide by 4: x = 4.
Question 4: A jacket originally costs $80 and is on sale for 30% off. What is the sale price?
- $56 (Correct answer)
- $50
- $24
- $64
Correct answer: $56
30% of $80 = $24 discount; $80 − $24 = $56.
Question 5: What is the GCF (Greatest Common Factor) of 36 and 48?
- 12 (Correct answer)
- 6
- 18
- 4
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36. Factors of 48: 1,2,3,4,6,8,12,16,24,48. GCF = 12.
Question 6: Order from least to greatest: −2, 0.5, −1/2, 1
- −2, −1/2, 0.5, 1 (Correct answer)
- −1/2, −2, 0.5, 1
- −2, 0.5, −1/2, 1
- 0.5, −1/2, −2, 1
Correct answer: −2, −1/2, 0.5, 1
On the number line: −2 < −0.5 < 0.5 < 1.
Question 7: Which expression is equivalent to 4(3x − 2)?
- 12x − 8 (Correct answer)
- 12x − 2
- 12x + 8
- 7x − 6
Correct answer: 12x − 8
Use the distributive property: 4 × 3x = 12x and 4 × (−2) = −8, giving 12x − 8.
CAASPP Number Sense 4
Which number is irrational?