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Arithmetic Problems - Advanced Level: number operations ADVANCED

Level up your arithmetic problems skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: number operations. Learn profit-loss, simple interest, compound interest through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 24 of 30 (80% complete)

Question 1

If you start with 11, add 8, multiply by 5, then subtract 8, what is the result?
(11+8)=19; 19*5=95; 95-8=87
arithmetic, hybrid

Question 2

In the GP sequence: 6, 30, ___, 750, 3750, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 150.
GP, sequence

Question 3

If you start with 68, add 4, multiply by 2, then subtract 4, what is the result?
(68+4)=72; 72*2=144; 144-4=140
arithmetic, hybrid

Question 4

Calculate simple interest on Rs. 6956 at 9% per annum for 1 years.
Simple Interest = PRT/100 = 626.04.
interest

Question 5

Find the sum of first 7 terms of the AP: First term=6, common difference=7.
S_n = n/2 [2a + (n-1)d] = 7/2*[2*6+(6)*7] = 189.0
sum, arithmetic progression

Question 6

If A can complete a work in 3 days, and B in 10 days, how long will they take together?
Time = (A * B) / (A + B) = (3*10)/(3+10) = 2.31 days.
time work

Question 7

Calculate compound interest on Rs. 6522 at 5% per annum for 1 years.
CI = P(1+r/100)^t - P = 6848.1 - 6522 = 326.1.
compound interest

Question 8

Find the wrong term in the series: 32, 39, 25, 53, 60, 67, 74
Correct AP is 32, 39, 46, 53, 60, 67, 74. Wrong term: 25, position 3.
arithmetic, wrong term

Question 9

Calculate simple interest on Rs. 4839 at 4% per annum for 5 years.
Simple Interest = PRT/100 = 967.8.
interest

Question 10

A, B, and C invest Rs. 3978, Rs. 3266, and Rs. 4357 for 10, 4, 7 months respectively. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 3978×10 : 3266×4 : 4357×7 = 39780 : 13064 : 30499
partnership

Question 11

What is 120 - 18?
120 - 18 = 102
arithmetic, operation

Question 12

Calculate compound interest on Rs. 8936 at 5% per annum for 3 years.
CI = P(1+r/100)^t - P = 10344.54 - 8936 = 1408.54.
compound interest

Question 13

If A can complete a work in 3 days, and B in 8 days, how long will they take together?
Time = (A * B) / (A + B) = (3*8)/(3+8) = 2.18 days.
time work

Question 14

Calculate compound interest on Rs. 2451 at 7% per annum for 1 years.
CI = P(1+r/100)^t - P = 2622.57 - 2451 = 171.57.
compound interest

Question 15

In the GP sequence: 3, 12, ___, 192, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 48.
GP, sequence

Question 16

Calculate simple interest on Rs. 1797 at 11% per annum for 1 years.
Simple Interest = PRT/100 = 197.67.
interest

Question 17

Fill the missing term: 12, 14, ?, 18, 20
AP with difference 2. 12+2*2 = 16.
arithmetic, progression

Question 18

Find the sum of first 9 terms of the AP: First term=2, common difference=6.
S_n = n/2 [2a + (n-1)d] = 9/2*[2*2+(8)*6] = 234.0
sum, arithmetic progression

Question 19

In a ratio 5:2, what is the first part out of 371?
First part: 371 * 5/(7) = 265.0
ratio

Question 20

Calculate simple interest on Rs. 3487 at 3% per annum for 5 years.
Simple Interest = PRT/100 = 523.05.
interest
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