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Arithmetic Problems - Intermediate-Advanced Level: ratio proportion INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level arithmetic problems questions. Worksheet 20 of 30 hones your ratio proportion abilities. Practice ratio proportion, averages, time-work problems under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

📝 Worksheet 20 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 20 of 30 (66% complete)

Question 1

If you start with 66, add 9, multiply by 7, then subtract 9, what is the result?
(66+9)=75; 75*7=525; 525-9=516
arithmetic, hybrid

Question 2

Convert 43 km to miles (1 km = 0.621371 miles).
43 * 0.621371 = 26.72 miles
conversion

Question 3

Fill the missing term: 50, 54, 58, 62, 66, 70, ?, 78, 82
AP with difference 4. 50+6*4 = 74.
arithmetic, progression

Question 4

Calculate compound interest on Rs. 5972 at 7% per annum for 2 years.
CI = P(1+r/100)^t - P = 6837.34 - 5972 = 865.34.
compound interest

Question 5

Convert 75 km to miles (1 km = 0.621371 miles).
75 * 0.621371 = 46.6 miles
conversion

Question 6

What is 33% of 1053?
33% of 1053 = (1053*33)/100 = 347.49
percentage

Question 7

Find the wrong term in the series: 39, 48, 57, 66, 102, 84, 93
Correct AP is 39, 48, 57, 66, 75, 84, 93. Wrong term: 102, position 5.
arithmetic, wrong term

Question 8

What is 111 - 24?
111 - 24 = 87
arithmetic, operation

Question 9

Convert 17 km to miles (1 km = 0.621371 miles).
17 * 0.621371 = 10.56 miles
conversion

Question 10

In the HP sequence: 0.1429, 0.1, 0.0769, ___, 0.0526, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 16. Answer: 0.0625.
HP, sequence

Question 11

If you start with 78, add 8, multiply by 6, then subtract 8, what is the result?
(78+8)=86; 86*6=516; 516-8=508
arithmetic, hybrid

Question 12

In a GP, the 3th term is 36 (a=4, r=3). This amount is invested at 4% simple interest for 3 years. Find the interest earned.
GP: a=4, r=3, term 3 = 36. SI on ₹36 at 4% for 3 years = 4.32
Olympiad, chain

Question 13

Calculate simple interest on Rs. 7379 at 8% per annum for 4 years.
Simple Interest = PRT/100 = 2361.28.
interest

Question 14

In the GP sequence: 4, 8, ___, 32, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 16.
GP, sequence

Question 15

In the GP sequence: 2, 8, ___, 128, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 32.
GP, sequence

Question 16

Average age of 5 people is 34. If a 20-year-old leaves, find new average.
Total 5 people avg 34 → total=170. Remove age 20, new avg=37.5
Olympiad, chain

Question 17

Calculate compound interest on Rs. 5887 at 10% per annum for 2 years.
CI = P(1+r/100)^t - P = 7123.27 - 5887 = 1236.27.
compound interest

Question 18

Fill the missing term: 15, 29, ?, 57, 71, 85, 99, 113, 127
AP with difference 14. 15+2*14 = 43.
arithmetic, progression

Question 19

In the HP sequence: 0.2, 0.1111, 0.0769, ___, 0.0476, 0.04, 0.0345, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 17. Answer: 0.0588.
HP, sequence

Question 20

What is 79 - 65?
79 - 65 = 14
arithmetic, operation
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