Mathematics (Latest Update )
200+ Questions & Answers | Grade A |
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Number Sense (45 Multiple-Choice, 5 Constructed-
Response)
Multiple-Choice Questions
Which number is irrational?
0.6, √25, e, 7/8
Answer: e
Explanation: Irrational numbers have non-repeating, non-terminating decimals. e
(≈2.718) is irrational, while 0.6 (6/10), √25 (5), and 7/8 are rational.
What is the least common multiple (LCM) of 12 and 18?
6, 12, 36, 72
Answer: 36
Explanation: Prime factors: 12 = 2² × 3, 18 = 2 × 3². LCM = 2² × 3² = 36.
Simplify: (3/4) × (8/9)
2/3, 1/3, 6/9, 24/36
Answer: 2/3
Explanation: (3/4) × (8/9) = (3 × 8)/(4 × 9) = 24/36 = 2/3.
What is the greatest common factor (GCF) of 48 and 60?
6, 12, 24, 48
Answer: 12
Explanation: Prime factors: 48 = 2⁴ × 3, 60 = 2² × 3 × 5. GCF = 2² × 3 = 12.
Evaluate: 2 + 3 × 4²
50, 48, 98, 20
Answer: 50
Explanation: PEMDAS: 4² = 16, 3 × 16 = 48, 2 + 48 = 50.
Convert 0.45 to a fraction in simplest form.
9/20, 45/100, 4/5, 9/25
, Answer: 9/20
Explanation: 0.45 = 45/100 = 9/20 (divide by 5).
Which number is a composite number?
2, 3, 7, 9
Answer: 9
Explanation: A composite number has factors other than 1 and itself. 9 = 3 × 3.
What is the value of 2⁵?
10, 16, 32, 64
Answer: 32
Explanation: 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.
Simplify: 5/6 ÷ 2/3
5/4, 10/18, 15/12, 1/2
Answer: 5/4
Explanation: (5/6) ÷ (2/3) = (5/6) × (3/2) = 15/12 = 5/4.
What is the absolute value of -12?
12, -12, 0, 24
Answer: 12
Explanation: Absolute value is the distance from 0: |-12| = 12.
Which is equivalent to 4/12?
1/3, 2/6, 1/4, 2/3
Answer: 1/3
Explanation: 4/12 ÷ 4/4 = 1/3.
What is 15% of 80?
12, 15, 20, 24
Answer: 12
Explanation: 15% = 0.15, 0.15 × 80 = 12.
Evaluate: (2/5) + (3/10)
7/10, 5/15, 1/2, 6/10
Answer: 7/10
Explanation: LCM of 5 and 10 is 10. (2/5) = 4/10, 4/10 + 3/10 = 7/10.
Which number is prime?
15, 21, 23, 27
Answer: 23
Explanation: A prime number has only two factors: 1 and itself. 23 is prime.
What is the square root of 81?
8, 9, 10, 11
, Answer: 9
Explanation: √81 = 9, since 9² = 81.
Simplify: 2/3 - 1/6
1/2, 1/3, 1/6, 3/6
Answer: 1/2
Explanation: LCM of 3 and 6 is 6. (2/3) = 4/6, 4/6 - 1/6 = 3/6 = 1/2.
What is 0.2 written as a fraction?
1/5, 2/10, 1/10, 2/5
Answer: 1/5
Explanation: 0.2 = 2/10 = 1/5.
Which is the reciprocal of 4?
1/4, 4, 1, -4
Answer: 1/4
Explanation: The reciprocal of a number n is 1/n. For 4, it’s 1/4.
What is 3³ × 2²?
18, 36, 54, 108
Answer: 108
Explanation: 3³ = 27, 2² = 4, 27 × 4 = 108.
Which number is divisible by both 3 and 4?
12, 15, 18, 21
Answer: 12
Explanation: 12 ÷ 3 = 4, 12 ÷ 4 = 3. Both are integers.
Evaluate: -5 + (-3)
-8, -2, 2, 8
Answer: -8
Explanation: -5 + (-3) = -5 - 3 = -8.
What is 25% of 200?
25, 50, 75, 100
Answer: 50
Explanation: 25% = 0.25, 0.25 × 200 = 50.
Simplify: (2/7) × (14/5)
4/5, 28/35, 2/5, 1/2
Answer: 4/5
Explanation: (2/7) × (14/5) = (2 × 14)/(7 × 5) = 28/35 = 4/5.
Which is a rational number?
√2, π, 0.8, √3