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Arithmetic Problems - Beginner-Intermediate Level: mixture problems BEGINNER-INTERMEDIATE

Intensive quick response training 🎯 drill: 20 beginner-intermediate-level arithmetic problems questions. Worksheet 10 of 30 hones your mixture problems abilities. Practice profit-loss, simple interest, compound interest under timed conditions. Best for developing students seeking building on fundamentals with moderate challenges.

📝 Worksheet 10 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 10 of 30 (33% complete)

Question 1

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 USA?
Difference = |270 - 400| = 130.
data chart

Question 2

Find the sum of first 10 terms of the AP: First term=10, common difference=6.
S_n = n/2 [2a + (n-1)d] = 10/2*[2*10+(9)*6] = 370.0
sum, arithmetic progression

Question 3

In a ratio 5:3, what is the first part out of 104?
First part: 104 * 5/(8) = 65.0
ratio

Question 4

In the GP sequence: 4, 12, ___, 108, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 36.
GP, sequence

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

Question 6

If A can complete a work in 3 days, and B in 12 days, how long will they take together?
Time = (A * B) / (A + B) = (3*12)/(3+12) = 2.4 days.
time work

Question 7

Find the wrong term in the series: 38, 47, 29, 65, 74, 83, 92
Correct AP is 38, 47, 56, 65, 74, 83, 92. Wrong term: 29, position 3.
arithmetic, wrong term

Question 8

Find the sum of first 11 terms of the AP: First term=7, common difference=2.
S_n = n/2 [2a + (n-1)d] = 11/2*[2*7+(10)*2] = 187.0
sum, arithmetic progression

Question 9

Convert 87 km to miles (1 km = 0.621371 miles).
87 * 0.621371 = 54.06 miles
conversion

Question 10

Convert 9 km to miles (1 km = 0.621371 miles).
9 * 0.621371 = 5.59 miles
conversion

Question 11

In the GP sequence: 4, 20, ___, 500, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 100.
GP, sequence

Question 12

Fill the missing term: 16, 30, ?, 58, 72, 86, 100, 114, 128
AP with difference 14. 16+2*14 = 44.
arithmetic, progression

Question 13

If you start with 42, add 10, multiply by 5, then subtract 10, what is the result?
(42+10)=52; 52*5=260; 260-10=250
arithmetic, hybrid

Question 14

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 15

What is 10% of 1125?
10% of 1125 = (1125*10)/100 = 112.5
percentage

Question 16

A, B, and C invest Rs. 3364, Rs. 8891, and Rs. 7171 for 10, 9, 4 months respectively. If total profit is Rs. 15000, what is B's share?
Share ratio = 3364×10 : 8891×9 : 7171×4 = 33640 : 80019 : 28684
B's share = (80019 / 142343) × 15000 = 8432.34
partnership

Question 17

Calculate simple interest on Rs. 2911 at 6% per annum for 1 years.
Simple Interest = PRT/100 = 174.66.
interest

Question 18

Fill the missing term: 23, 27, 31, ?, 39
AP with difference 4. 23+3*4 = 35.
arithmetic, progression

Question 19

Calculate compound interest on Rs. 952 at 7% per annum for 4 years.
CI = P(1+r/100)^t - P = 1247.88 - 952 = 295.88.
compound interest

Question 20

In a group, 18 members are aged 26, 22 members aged 48. Find average age.
18 people age 26, 22 people age 48. Average = 38.1
Olympiad, chain
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