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Arithmetic Problems - Intermediate-Advanced Level: averages INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level arithmetic problems problems. Worksheet 21 of 30 focuses on averages. Practice averages, time-work problems, speed-distance with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 21 of 30 (70% complete)

Question 1

Convert 42 km to miles (1 km = 0.621371 miles).
42 * 0.621371 = 26.1 miles
conversion

Question 2

In the HP sequence: 0.25, 0.1429, 0.1, ___, 0.0625, 0.0526, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 13. Answer: 0.0769.
HP, sequence

Question 3

Find the sum of first 18 terms of the AP: First term=10, common difference=4.
S_n = n/2 [2a + (n-1)d] = 18/2*[2*10+(17)*4] = 792.0
sum, arithmetic progression

Question 4

Calculate simple interest on Rs. 7128 at 6% per annum for 3 years.
Simple Interest = PRT/100 = 1283.04.
interest

Question 5

In a ratio 3:4, what is the first part out of 238?
First part: 238 * 3/(7) = 102.0
ratio

Question 6

₹2082 and ₹3440 at 10% for 4 years. Ratio of simple interests = ?
SI1=832.80, SI2=1376.00, Ratio = 0.61:1
Olympiad, chain

Question 7

A and B invest Rs. 5906 and Rs. 3004 for 6 and 5 months respectively. What is the profit sharing ratio of A : B?
Profit ratio = Investment × Time = 5906×6 : 3004×5
partnership

Question 8

If A can complete a work in 4 days, and B in 8 days, how long will they take together?
Time = (A * B) / (A + B) = (4*8)/(4+8) = 2.67 days.
time work

Question 9

In a ratio 5:7, what is the first part out of 480?
First part: 480 * 5/(12) = 200.0
ratio

Question 10

Convert 67 km to miles (1 km = 0.621371 miles).
67 * 0.621371 = 41.63 miles
conversion

Question 11

Fill the missing term: 40, ?, 64, 76, 88, 100, 112, 124
AP with difference 12. 40+1*12 = 52.
arithmetic, progression

Question 12

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 UK make compared to Japan?
Difference = |270 - 150| = 120.
data chart

Question 13

Calculate compound interest on Rs. 6906 at 2% per annum for 2 years.
CI = P(1+r/100)^t - P = 7185.0 - 6906 = 279.0.
compound interest

Question 14

What is the remainder when 441 is divided by 7?
441 modulo 7 = 0.
modular

Question 15

Convert 40 km to miles (1 km = 0.621371 miles).
40 * 0.621371 = 24.85 miles
conversion

Question 16

Find the wrong term in the series: 33, 40, 26, 54, 61, 68, 75
Correct AP is 33, 40, 47, 54, 61, 68, 75. Wrong term: 26, position 3.
arithmetic, wrong term

Question 17

Find the wrong term in the series: 32, 37, 27, 47, 52, 57, 62
Correct AP is 32, 37, 42, 47, 52, 57, 62. Wrong term: 27, position 3.
arithmetic, wrong term

Question 18

Fill the missing term: 33, 36, 39, 42, ?, 48, 51
AP with difference 3. 33+4*3 = 45.
arithmetic, progression

Question 19

Find the wrong term in the series: 33, 42, 24, 60, 69, 78, 87
Correct AP is 33, 42, 51, 60, 69, 78, 87. Wrong term: 24, position 3.
arithmetic, wrong term

Question 20

Calculate simple interest on Rs. 7017 at 9% per annum for 5 years.
Simple Interest = PRT/100 = 3157.65.
interest
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