Free BMST Mathematics Questions and Answers 2 — Questions and Answers
Question 1: What is the value of 15 × 12?
- 180 (Correct answer)
- 170
- 192
- 168
Correct answer: 180
15 × 12 = 180. You can break it into (15 × 10) + (15 × 2) = 150 + 30 = 180.
To multiply 15 × 12, use the distributive property: 15 × 12 = 15 × (10 + 2) = (15 × 10) + (15 × 2) = 150 + 30 = 180. Mental math strategies like this make calculations faster and more accurate.
Question 2: What is the square root of 144?
- 12 (Correct answer)
- 14
- 11
- 13
Correct answer: 12
12 × 12 = 144, so √144 = 12.
The square root of a number is the value that, when multiplied by itself, produces that number. Since 12 × 12 = 144, √144 = 12. Perfect squares worth memorizing include: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225.
Question 3: Solve: 8 + 3 × (6 - 2)
- 20 (Correct answer)
- 44
- 32
- 14
Correct answer: 20
Order of operations: parentheses first (6-2=4), then multiply (3×4=12), then add (8+12=20).
Using the order of operations (PEMDAS/BODMAS): First, evaluate parentheses: 6 - 2 = 4. Then multiplication: 3 × 4 = 12. Finally addition: 8 + 12 = 20. A common error is adding 8 + 3 first (getting 11 × 4 = 44), which ignores the order of operations.
Question 4: What is 3/5 expressed as a decimal?
- 0.6 (Correct answer)
- 0.35
- 1.67
- 0.06
Correct answer: 0.6
3 ÷ 5 = 0.6.
To convert a fraction to a decimal, divide the numerator by the denominator: 3 ÷ 5 = 0.6. Alternatively, multiply both numerator and denominator to get a denominator of 10: 3/5 = 6/10 = 0.6. Common fraction-decimal equivalents: 1/5 = 0.2, 2/5 = 0.4, 3/5 = 0.6, 4/5 = 0.8.
Question 5: If a triangle has angles of 45° and 90°, what is the third angle?
- 45° (Correct answer)
- 55°
- 30°
- 60°
Correct answer: 45°
Angles in a triangle sum to 180°. Third angle = 180 - 45 - 90 = 45°.
The angle sum property states that the three interior angles of any triangle add up to 180°. Given angles of 45° and 90°, the third angle = 180° - 45° - 90° = 45°. This is a 45-45-90 right triangle (isosceles right triangle), where the two legs are equal in length.
Question 6: What is the least common multiple (LCM) of 6 and 8?
- 24 (Correct answer)
- 48
- 12
- 6
Correct answer: 24
Multiples of 6: 6,12,18,24... Multiples of 8: 8,16,24... The smallest common multiple is 24.
The LCM is the smallest positive number that is a multiple of both numbers. Multiples of 6: 6, 12, 18, 24, 30... Multiples of 8: 8, 16, 24, 32... The first common multiple is 24. Alternatively, using prime factorization: 6 = 2 × 3, 8 = 2³. LCM = 2³ × 3 = 24.
What is the value of 15 × 12?