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Arithmetic Problems - Beginner-Intermediate Level: number operations BEGINNER-INTERMEDIATE

Strategic fast track practice for arithmetic problems: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: number operations. Develop expertise in percentage problems, profit-loss, simple interest with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 9 of 30 (30% complete)

Question 1

What is 5% of 1039?
5% of 1039 = (1039*5)/100 = 51.95
percentage

Question 2

Convert 20 km to miles (1 km = 0.621371 miles).
20 * 0.621371 = 12.43 miles
conversion

Question 3

In a ratio 3:6, what is the first part out of 135?
First part: 135 * 3/(9) = 45.0
ratio

Question 4

A and B invest for 7 and 4 months respectively. C joins after 6 months and invests Rs. 3882 for the remaining period. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 2113×7 : 8174×4 : 3882×5 = 14791 : 32696 : 19410
partnership

Question 5

Convert 74 km to miles (1 km = 0.621371 miles).
74 * 0.621371 = 45.98 miles
conversion

Question 6

Calculate compound interest on Rs. 7256 at 7% per annum for 1 years.
CI = P(1+r/100)^t - P = 7763.92 - 7256 = 507.92.
compound interest

Question 7

Find the sum of first 9 terms of the AP: First term=5, common difference=8.
S_n = n/2 [2a + (n-1)d] = 9/2*[2*5+(8)*8] = 333.0
sum, arithmetic progression

Question 8

What is the remainder when 429 is divided by 11?
429 modulo 11 = 0.
modular

Question 9

What is 60 ÷ 15?
60 ÷ 15 = 4
arithmetic, operation

Question 10

Find the sum of first 9 terms of the AP: First term=6, common difference=8.
S_n = n/2 [2a + (n-1)d] = 9/2*[2*6+(8)*8] = 342.0
sum, arithmetic progression

Question 11

Convert 81 km to miles (1 km = 0.621371 miles).
81 * 0.621371 = 50.33 miles
conversion

Question 12

Find the wrong term in the series: 29, 38, 47, 92, 65, 74, 83
Correct AP is 29, 38, 47, 56, 65, 74, 83. Wrong term: 92, position 4.
arithmetic, wrong term

Question 13

Fill the missing term: 42, 54, 66, ?, 90, 102, 114, 126
AP with difference 12. 42+3*12 = 78.
arithmetic, progression

Question 14

Calculate simple interest on Rs. 2147 at 8% per annum for 5 years.
Simple Interest = PRT/100 = 858.8.
interest

Question 15

In a ratio 6:2, what is the first part out of 272?
First part: 272 * 6/(8) = 204.0
ratio

Question 16

In a ratio 4:2, what is the first part out of 174?
First part: 174 * 4/(6) = 116.0
ratio

Question 17

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 Japan?
Difference = |250 - 150| = 100.
data chart

Question 18

Calculate compound interest on Rs. 3617 at 3% per annum for 1 years.
CI = P(1+r/100)^t - P = 3725.51 - 3617 = 108.51.
compound interest

Question 19

In the GP sequence: 2, 10, ___, 250, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 50.
GP, sequence

Question 20

Fill the missing term: 34, ?, 38, 40, 42, 44
AP with difference 2. 34+1*2 = 36.
arithmetic, progression
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