STAAR Grade 6: Math 1 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 24 and 36?
- 4
- 6
- 12 (Correct answer)
- 18
Correct answer: 12
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36; the greatest common factor is 12.
Question 2: What is 3/4 of 48?
- 12
- 24
- 36 (Correct answer)
- 16
Correct answer: 36
3/4 of 48 = (3 × 48) ÷ 4 = 144 ÷ 4 = 36.
Question 3: What is the least common multiple (LCM) of 4 and 6?
- 2
- 12 (Correct answer)
- 24
- 10
Correct answer: 12
The multiples of 4 are 4, 8, 12... and of 6 are 6, 12...; the least common multiple is 12.
Question 4: Evaluate the expression: 4 + 3² × 2
- 22 (Correct answer)
- 50
- 18
- 26
Correct answer: 22
Following order of operations: 3² = 9, then 9 × 2 = 18, then 4 + 18 = 22.
Question 5: What is 0.75 expressed as a fraction in simplest form?
- 75/100
- 3/5
- 3/4 (Correct answer)
- 7/10
Correct answer: 3/4
0.75 = 75/100, which simplifies to 3/4 by dividing both numerator and denominator by 25.
Question 6: A store sells pens for $1.25 each. If you buy 8 pens, how much will you spend?
- $8.25
- $9.25
- $10.00 (Correct answer)
- $10.25
Correct answer: $10.00
$1.25 × 8 = $10.00.
What is the greatest common factor (GCF) of 24 and 36?