7th Grade / First Year Mathematics — All Chapters:
Questions & Solutions
This document contains representative questions and full step-by-step solutions for all chapters listed in
the course outline.
1. Integers & Rational Numbers
Q1. Find: (-8) + 15 − (−3)
Solution: (-8) + 15 − (−3) = (-8) + 15 + 3 = 10. Explanation: Subtracting -3 is same as adding 3.
Then -8 + 15 = 7, 7 + 3 = 10.
Q2. Evaluate: 5 − (−2) × 3
Solution: Follow BODMAS. (-2) × 3 = -6. So 5 − (-6) = 5 + 6 = 11.
Q3. On a number line, which integer is 7 units to the left of -2?
Solution: 7 units left of -2 is -2 - 7 = -9.
, 2. Fractions & Decimals
Q1. Add: 3/4 + 5/6
Solution: LCM of 4 and 6 is 12. 3/4 = 9/12, 5/6 = 10/12. Sum = 19/12 = 1 7/12.
Q2. Convert 0.375 to fraction
Solution: 0.375 = 375/1000 = divide by 125 → 3/8.
Q3. Multiply: 2.5 × 0.4
Solution: 2.5 × 0.4 = (25/10)*(4/10)=100/100=1. So result = 1.
Questions & Solutions
This document contains representative questions and full step-by-step solutions for all chapters listed in
the course outline.
1. Integers & Rational Numbers
Q1. Find: (-8) + 15 − (−3)
Solution: (-8) + 15 − (−3) = (-8) + 15 + 3 = 10. Explanation: Subtracting -3 is same as adding 3.
Then -8 + 15 = 7, 7 + 3 = 10.
Q2. Evaluate: 5 − (−2) × 3
Solution: Follow BODMAS. (-2) × 3 = -6. So 5 − (-6) = 5 + 6 = 11.
Q3. On a number line, which integer is 7 units to the left of -2?
Solution: 7 units left of -2 is -2 - 7 = -9.
, 2. Fractions & Decimals
Q1. Add: 3/4 + 5/6
Solution: LCM of 4 and 6 is 12. 3/4 = 9/12, 5/6 = 10/12. Sum = 19/12 = 1 7/12.
Q2. Convert 0.375 to fraction
Solution: 0.375 = 375/1000 = divide by 125 → 3/8.
Q3. Multiply: 2.5 × 0.4
Solution: 2.5 × 0.4 = (25/10)*(4/10)=100/100=1. So result = 1.
