Anubhav New Worksheet Fractions Advanced L3 Math

 

Anubhav Advanced Fractions Worksheet

Grade 6-8 Advanced Mathematics Practice

Student Name: _________________ Date: _________________ Time Started: _______

Instructions: Solve all problems. Simplify answers to lowest terms. Show all working. No calculators allowed.

SECTION A: Complex Operations (2-3 LUs each)

Problem 1 (3 LUs)
5 2/3 ÷ 2 1/4 × 3/8 = _____________

Problem 2 (2 LUs)
(3 3/4 - 1 5/6) + 2 7/12 = _____________

Problem 3 (3 LUs)
7/8 ÷ (1/2 + 1/3) × 2/5 = _____________

SECTION B: Multi-Step Problem Solving (3-4 LUs each)

Problem 4 (4 LUs)
A container is 3/4 full of water. After using 2/5 of the water for cooking and 1/6 of the remaining water for cleaning, what fraction of the container's total capacity is left? = _____________

Problem 5 (3 LUs)
Asha bought 4 1/2 kg of rice. She used 1 3/4 kg for lunch, 2/3 kg for dinner, and gave 3/4 kg to her neighbor. How much rice does she have left? = _____________ kg

Problem 6 (4 LUs)
A rectangle has length 5 2/3 meters and width 3 3/4 meters. If the length is increased by 1/4 of its original value, what is the new area? = _____________ square meters

SECTION C: Advanced Challenge Problems (4-5 LUs each)

Problem 7 (5 LUs)
Simplify: (2 1/3 + 1 1/4) ÷ (3/4 - 1/6) + 1 2/5 × 3/7 = _____________

Problem 8 (4 LUs)
Three friends share a pizza. Amit eats 1/4, Bhavi eats 2/5 of what remains, and Chitra eats half of what's left after Bhavi. What fraction of the original pizza is still uneaten? = _____________

Problem 9 (5 LUs)
A water tank can be filled by pipe A in 2 1/2 hours and by pipe B in 3 3/4 hours. If both pipes work together, what fraction of the tank will be filled in 1 hour? = _____________

Total LUs Available: 15
LUs Earned: ______/15
Time Completed: _______


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