Arithmetic Problems - Beginner-Intermediate Level: speed-distance BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level arithmetic problems problems. Worksheet 8 of 30 emphasizes speed-distance. Master basic arithmetic, percentage problems, profit-loss through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 8 of 30 (26% complete)

Question 1

In a ratio 5:2, what is the first part out of 133?
First part: 133 * 5/(7) = 95.0

Question 2

Fill the missing term: 37, 43, 49, 55, 61, 67, 73, ?, 85
AP with difference 6. 37+7*6 = 79.

Question 3

In the GP sequence: 5, 10, ___, 40, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 20.

Question 4

What is 33% of 645?
33% of 645 = (645*33)/100 = 212.85

Question 5

If you start with 94, add 7, multiply by 3, then subtract 7, what is the result?
(94+7)=101; 101*3=303; 303-7=296

Question 6

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.

Question 7

Find the sum of first 14 terms of the AP: First term=3, common difference=3.
S_n = n/2 [2a + (n-1)d] = 14/2*[2*3+(13)*3] = 315.0

Question 8

What is 110 * 67?
110 * 67 = 7370

Question 9

A invests ₹13629 for 11 months, B ₹26412 for 5 months. Total profit ₹12910. Find A's ROI percentage.
A: ₹13629 for 11m, B: ₹26412 for 5m. Profit 12910, A's ROI = 50.36190638309945%

Question 10

If A can complete a work in 3 days, and B in 6 days, how long will they take together?
Time = (A * B) / (A + B) = (3*6)/(3+6) = 2.0 days.

Question 11

A and B invest Rs. 7094 and Rs. 7788 for 11 and 10 months respectively. What is the profit sharing ratio of A : B?
Profit ratio = Investment × Time = 7094×11 : 7788×10

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 Japan make compared to India?
Difference = |150 - 250| = 100.

Question 13

In the HP sequence: 0.25, 0.1111, 0.0714, 0.0526, ___, 0.0345, find the missing term.
HP = reciprocal of AP. Missing index: 4. AP: 24. Answer: 0.0417.

Question 14

Calculate simple interest on Rs. 8140 at 5% per annum for 1 years.
Simple Interest = PRT/100 = 407.0.

Question 15

If you start with 82, add 8, multiply by 4, then subtract 8, what is the result?
(82+8)=90; 90*4=360; 360-8=352

Question 16

A and B invest Rs. 6963 and Rs. 7391 for 4 and 5 months respectively. What is the profit sharing ratio of A : B?
Profit ratio = Investment × Time = 6963×4 : 7391×5

Question 17

Calculate compound interest on Rs. 8121 at 9% per annum for 2 years.
CI = P(1+r/100)^t - P = 9648.56 - 8121 = 1527.56.

Question 18

In the HP sequence: 0.1429, 0.0909, 0.0667, 0.0526, ___, 0.037, find the missing term.
HP = reciprocal of AP. Missing index: 4. AP: 23. Answer: 0.0435.

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.

Question 20

A, B, and C invest Rs. 2075, Rs. 4520, and Rs. 4157 for 4, 7, 12 months respectively. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 2075×4 : 4520×7 : 4157×12 = 8300 : 31640 : 49884
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