Arithmetic Problems - Intermediate Level: simple interest INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level arithmetic problems problems. Worksheet 18 of 30 emphasizes simple interest. Master simple interest, compound interest, ratio proportion through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:

Achieve proficiency in simple interest by completing this worksheet
Develop strong compound interest skills with practical problems
Improve your arithmetic problems solving speed through weakness targeting
Gain confidence in identifying ratio proportion patterns
Master real-world applications of simple interest

Your progress through Arithmetic Problems

Worksheet 18 of 30 (60% complete)

Question 1

Find the sum of first 10 terms of the AP: First term=4, common difference=3.

S_n = n/2 [2a + (n-1)d] = 10/2*[2*4+(9)*3] = 175.0

sum, arithmetic progression

Question 2

MP ₹877, discount 15%, profit 10%. Find cost price.

MP=877, Discount=15%, SP=745.45. Profit 10%, CP=677.68

Olympiad, chain

Question 3

What is the remainder when 263 is divided by 3?

263 modulo 3 = 2.

modular

Question 4

What is the remainder when 359 is divided by 5?

359 modulo 5 = 4.

modular

Question 5

The chart below shows the number of cars (in thousands) manufactured in 2020: India-250 USA-400 Japan-150 UK-270 How many more cars (in thousands) did India make compared to USA?

Difference = |250 - 400| = 150.

data chart

Question 6

If you start with 90, add 4, multiply by 3, then subtract 4, what is the result?

(90+4)=94; 94*3=282; 282-4=278

arithmetic, hybrid

Question 7

What is 55 * 67?

55 * 67 = 3685

arithmetic, operation

Question 8

What is the remainder when 117 is divided by 7?

117 modulo 7 = 5.

modular

Question 9

Fill the missing term: 36, 49, ?, 75, 88, 101, 114

AP with difference 13. 36+2*13 = 62.

arithmetic, progression

Question 10

Find the sum of first 19 terms of the AP: First term=8, common difference=6.

S_n = n/2 [2a + (n-1)d] = 19/2*[2*8+(18)*6] = 1178.0

sum, arithmetic progression

Question 11

In the HP sequence: 0.25, 0.1429, 0.1, 0.0769, ___, 0.0526, find the missing term.

HP = reciprocal of AP. Missing index: 4. AP: 16. Answer: 0.0625.

HP, sequence

Question 12

In the HP sequence: 0.25, 0.125, ___, 0.0625, find the missing term.

HP = reciprocal of AP. Missing index: 2. AP: 12. Answer: 0.0833.

HP, sequence

Question 13

A and B invest for 12 and 12 months respectively. C joins after 6 months and invests Rs. 2429 for the remaining period. If total profit is Rs. 20000, what is the difference between C's and A's shares?

C's share = 1574.74
A's share = 7336.26
Difference = |1574.74 - 7336.26| = 5761.52

partnership

Question 14

In a ratio 7:4, what is the first part out of 242?

First part: 242 * 7/(11) = 154.0

ratio

Question 15

What is the remainder when 221 is divided by 7?

221 modulo 7 = 4.

modular

Question 16

What is the remainder when 455 is divided by 5?

455 modulo 5 = 0.

modular

Question 17

Find the sum of first 11 terms of the AP: First term=12, common difference=3.

S_n = n/2 [2a + (n-1)d] = 11/2*[2*12+(10)*3] = 297.0

sum, arithmetic progression

Question 18

If you start with 85, add 4, multiply by 9, then subtract 4, what is the result?

(85+4)=89; 89*9=801; 801-4=797

arithmetic, hybrid

Question 19

Calculate simple interest on Rs. 5038 at 7% per annum for 5 years.

Simple Interest = PRT/100 = 1763.3.

interest

Question 20

What is 50% of 629?

50% of 629 = (629*50)/100 = 314.5

percentage

💪 Progress update: 58% complete. Worksheet 18 awaits!

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