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Arithmetic Problems - Intermediate Level: population growth INTERMEDIATE

Level up your arithmetic problems skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: population growth. Learn averages, time-work problems, speed-distance through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 14 of 30 (46% complete)

Question 1

If A can complete a work in 2 days, and B in 7 days, how long will they take together?
Time = (A * B) / (A + B) = (2*7)/(2+7) = 1.56 days.
time work

Question 2

A and B invest Rs. 3166 and Rs. 5963 for 12 and 10 months respectively. If total profit is Rs. 18000, what is B's share?
Share ratio = 3166×12 : 5963×10 = 37992 : 59630
B's share = (59630 / 97622) × 18000 = 10994.86
partnership

Question 3

In the HP sequence: 0.1667, 0.125, ___, 0.0833, 0.0714, 0.0625, 0.0556, find the missing term.
HP = reciprocal of AP. Missing index: 2. AP: 10. Answer: 0.1.
HP, sequence

Question 4

In a group, 11 members are aged 35, 32 members aged 44. Find average age.
11 people age 35, 32 people age 44. Average = 41.7
Olympiad, chain

Question 5

In a ratio 4:6, what is the first part out of 140?
First part: 140 * 4/(10) = 56.0
ratio

Question 6

Convert 64 km to miles (1 km = 0.621371 miles).
64 * 0.621371 = 39.77 miles
conversion

Question 7

What is 50% of 586?
50% of 586 = (586*50)/100 = 293.0
percentage

Question 8

Find the sum of first 12 terms of the AP: First term=3, common difference=3.
S_n = n/2 [2a + (n-1)d] = 12/2*[2*3+(11)*3] = 234.0
sum, arithmetic progression

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 USA make compared to India?
Difference = |400 - 250| = 150.
data chart

Question 10

What is 4 ÷ 2?
4 ÷ 2 = 2
arithmetic, operation

Question 11

Calculate simple interest on Rs. 5644 at 7% per annum for 1 years.
Simple Interest = PRT/100 = 395.08.
interest

Question 12

Find the sum of first 11 terms of the AP: First term=12, common difference=6.
S_n = n/2 [2a + (n-1)d] = 11/2*[2*12+(10)*6] = 462.0
sum, arithmetic progression

Question 13

Fill the missing term: 46, ?, 74, 88, 102
AP with difference 14. 46+1*14 = 60.
arithmetic, progression

Question 14

Calculate compound interest on Rs. 8226 at 7% per annum for 3 years.
CI = P(1+r/100)^t - P = 10077.2 - 8226 = 1851.2.
compound interest

Question 15

In the GP sequence: 8, 16, 32, 64, 128, ___, 512, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 5. Answer: 256.
GP, sequence

Question 16

A invests ₹23728 for 11 months, B ₹20469 for 8 months. Total profit ₹10969. Find A's ROI percentage.
A: ₹23728 for 11m, B: ₹20469 for 8m. Profit 10969, A's ROI = 28.406394199077123%
Olympiad, chain

Question 17

What is 61 + 45?
61 + 45 = 106
arithmetic, operation

Question 18

What is the remainder when 289 is divided by 5?
289 modulo 5 = 4.
modular

Question 19

Calculate compound interest on Rs. 5897 at 9% per annum for 3 years.
CI = P(1+r/100)^t - P = 7636.79 - 5897 = 1739.79.
compound interest

Question 20

What is 82 - 55?
82 - 55 = 27
arithmetic, operation
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