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Arithmetic Problems - Beginner Level: averages BEGINNER

Master arithmetic problems concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into averages while learning ratio proportion, averages, time-work problems. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 6 of 30 (20% complete)

Question 1

Find the sum of first 17 terms of the AP: First term=9, common difference=6.
S_n = n/2 [2a + (n-1)d] = 17/2*[2*9+(16)*6] = 969.0
sum, arithmetic progression

Question 2

Find the wrong term in the series: 26, 35, 44, 53, 62, 89, 80
Correct AP is 26, 35, 44, 53, 62, 71, 80. Wrong term: 89, position 6.
arithmetic, wrong term

Question 3

Calculate compound interest on Rs. 5536 at 10% per annum for 2 years.
CI = P(1+r/100)^t - P = 6698.56 - 5536 = 1162.56.
compound interest

Question 4

What is 95 * 8?
95 * 8 = 760
arithmetic, operation

Question 5

Fill the missing term: 23, ?, 39, 47, 55, 63
AP with difference 8. 23+1*8 = 31.
arithmetic, progression

Question 6

What is 111 * 50?
111 * 50 = 5550
arithmetic, operation

Question 7

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 8

If A can complete a work in 2 days, and B in 8 days, how long will they take together?
Time = (A * B) / (A + B) = (2*8)/(2+8) = 1.6 days.
time work

Question 9

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 UK?
Difference = |250 - 270| = 20.
data chart

Question 10

What is 36 ÷ 9?
36 ÷ 9 = 4
arithmetic, operation

Question 11

Find the sum of first 19 terms of the AP: First term=6, common difference=3.
S_n = n/2 [2a + (n-1)d] = 19/2*[2*6+(18)*3] = 627.0
sum, arithmetic progression

Question 12

Convert 92 km to miles (1 km = 0.621371 miles).
92 * 0.621371 = 57.17 miles
conversion

Question 13

If you start with 91, add 3, multiply by 3, then subtract 3, what is the result?
(91+3)=94; 94*3=282; 282-3=279
arithmetic, hybrid

Question 14

Find the wrong term in the series: 36, 29, 50, 57, 64, 71, 78
Correct AP is 36, 43, 50, 57, 64, 71, 78. Wrong term: 29, position 2.
arithmetic, wrong term

Question 15

If A can complete a work in 4 days, and B in 9 days, how long will they take together?
Time = (A * B) / (A + B) = (4*9)/(4+9) = 2.77 days.
time work

Question 16

Find the wrong term in the series: 12, 19, 26, 61, 40, 47, 54
Correct AP is 12, 19, 26, 33, 40, 47, 54. Wrong term: 61, position 4.
arithmetic, wrong term

Question 17

Fill the missing term: 21, 27, 33, ?, 45, 51, 57
AP with difference 6. 21+3*6 = 39.
arithmetic, progression

Question 18

What is 114 * 69?
114 * 69 = 7866
arithmetic, operation

Question 19

In the GP sequence: 8, 40, ___, 1000, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 200.
GP, sequence

Question 20

Calculate compound interest on Rs. 2869 at 3% per annum for 3 years.
CI = P(1+r/100)^t - P = 3135.03 - 2869 = 266.03.
compound interest
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