Questions on Simple Interest

 Questions on Simple Interest

multiple choice questions on Simple Interest for grade 6, with realistic, hypothetical data. Each question has five alternatives. Answers with clear explanations come at the end.

Simple Interest Questions (Grade 6)

1. You borrow $1,000 at 5% simple interest per year. How much interest will you pay after 1 year?

A) $25

B) $50

C) $75

D) $100

E) $125

2. An investment of $500 earns 6% simple interest annually. What is the interest earned after 3 years?

A) $30

B) $60

C) $90

D) $120

E) $150

3. A loan of $2,000 at 4% simple interest is taken. What is the total interest after 2 years?

A) $40

B) $80

C) $120

D) $160

E) $200

4. You save $750 in a bank at 3% simple interest. How much interest will you get after 4 years?

A) $67.50

B) $75

C) $90

D) $100

E) $120

5. A man borrows $1,200 at 7% simple interest for 5 years. What is the interest he owes?

A) $360

B) $400

C) $420

D) $450

E) $480

6. If $900 is invested at 8% simple interest, how much interest is earned after 3 years?

A) $180

B) $216

C) $240

D) $270

E) $300

7. A loan of $1,500 has 9% simple interest per year. What is the interest for 2 years?

A) $250

B) $270

C) $280

D) $290

E) $300

8. You invest $1,000 at 5% simple interest for 6 years. How much interest will you earn?

A) $250

B) $280

C) $300

D) $320

E) $350

9. A loan of $800 at 10% simple interest is borrowed for 4 years. What is the interest?

A) $280

B) $300

C) $320

D) $340

E) $360

10. An investment of $600 is made at 12% simple interest for 2 years. How much interest will you earn?

A) $120

B) $144

C) $150

D) $160

E) $180

11. A loan of $1,000 at 6% simple interest is taken for 3 years. What is the interest?

A) $160

B) $170

C) $180

D) $190

E) $200

12. You invest $850 at 4% simple interest for 5 years. How much interest will you earn?

A) $150

B) $160

C) $170

D) $180

E) $190

13. A loan of $1,250 at 7% simple interest for 4 years will have interest of:

A) $300

B) $320

C) $350

D) $360

E) $380

14. If you invest $1,100 at 3% simple interest per year, how much interest will you earn in 7 years?

A) $210

B) $220

C) $231

D) $240

E) $250

15. A loan of $1,400 is taken at 5% simple interest for 3 years. What is the interest?

A) $180

B) $190

C) $200

D) $210

E) $220

16. An investment of $950 at 6% simple interest is held for 4 years. What is the interest?

A) $228

B) $230

C) $240

D) $250

E) $260

17. A loan of $1,600 at 8% simple interest for 2 years will have interest of:

A) $240

B) $256

C) $260

D) $270

E) $280

18. You invest $700 at 9% simple interest for 5 years. What is the interest?

A) $300

B) $315

C) $320

D) $330

E) $340

19. A loan of $1,100 has a 7% simple interest rate. What is the interest after 6 years?

A) $420

B) $440

C) $450

D) $462

E) $470

20. An investment of $1,300 at 4% simple interest per year for 3 years will earn interest of:

A) $150

B) $156

C) $160

D) $165

E) $170

• Questions about Percent of a Number
• Questions on Prices Involving Discounts
• Questions on Prices Involving Sales Tax

Answers & Explanations:

Formula: Interest = Principal × Rate × Time

(Rate as a decimal, e.g., 5% = 0.05)

    1. B) $50

$1,000 × 0.05 × 1 = $50

    2. C) $90

$500 × 0.06 × 3 = $90

    3. D) $160

$2,000 × 0.04 × 2 = $160

    4. C) $90

$750 × 0.03 × 4 = $90

    5. C) $420

$1,200 × 0.07 × 5 = $420

    6. B) $216

$900 × 0.08 × 3 = $216

    7. B) $270

$1,500 × 0.09 × 2 = $270

    8. C) $300

$1,000 × 0.05 × 6 = $300

    9. C) $320

$800 × 0.10 × 4 = $320

    10. B) $144

$600 × 0.12 × 2 = $144

    11. C) $180

$1,000 × 0.06 × 3 = $180

    12. C) $170

$850 × 0.04 × 5 = $170

    13. C) $350

$1,250 × 0.07 × 4 = $350

    14. C) $231  

$1,100 × 0.03 × 7 = $231

    15. D) $210

$1,400 × 0.05 × 3 = $210

    16. A) $228

$950 × 0.06 × 4 = $228

    17. B) $256

$1,600 × 0.08 × 2 = $256

    18. B) $315

$700 × 0.09 × 5 = $315

    19. D) $462

$1,100 × 0.07 × 6 = $462

    20. B) $156

$1,300 × 0.04 × 3 = $156

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Questions on Prices Involving Sales Tax

 Questions on Prices Involving Sales Tax

Questions for 6th grade students on Prices Involving Sales Tax, each with five alternatives (A–E). These questions use realistic, hypothetical scenarios, and the answers with explanations are included at the end.

 Questions:

1. A toy costs $50, and the sales tax is 10%. What is the total price?

A) $50

B) $52

C) $53

D) $54

E) $55

2. A jacket is priced at $80. With a sales tax of 8%, how much do you pay in total?

A) $84.40

B) $85.00

C) $86.40

D) $87.00

E) $88.80

3. A game console costs $300. Sales tax is 5%. What is the total cost?

A) $305

B) $310

C) $315

D) $318

E) $320

4. A book is priced at $25 with 6% tax. What’s the total price?

A) $25.50

B) $25.75

C) $26.00

D) $26.25

E) $26.50

5. A skateboard is $120, and the tax rate is 7%. What is the total cost?

A) $126

B) $127

C) $128.40

D) $129.50

E) $130

6. A laptop costs $1,000. With 10% sales tax, what’s the final amount paid?

A) $1,050

B) $1,070

C) $1,080

D) $1,100

E) $1,120

7. A T-shirt costs $20. Sales tax is 5%. What’s the final price?

A) $20.50

B) $21.00

C) $21.50

D) $22.00

E) $22.50

8. A bicycle costs $450. Tax is 8%. What do you pay?

A) $480

B) $486

C) $490

D) $495

E) $500

9. A tablet is sold for $250 with a 6% tax. What is the total price?

A) $260

B) $262

C) $264

D) $265

E) $270

10. A printer costs $180. Sales tax is 9%. What’s the total cost?

A) $194.20

B) $195.00

C) $196.20

D) $198.00

E) $200.00

11. A lamp costs $35, with a 7% tax. How much do you pay?

A) $36.85

B) $37.25

C) $37.45

D) $38.00

E) $38.50

12. A smartwatch is $150. Sales tax is 6%. What is the total?

A) $156

B) $157

C) $158

D) $159

E) $160

13. A camera costs $600, with 5% sales tax. What is the total?

A) $615

B) $620

C) $630

D) $640

E) $650

14. A phone case is $12. The tax rate is 8%. What’s the final price?

A) $12.60

B) $12.70

C) $12.90

D) $13.00

E) $13.10

15. A chair is priced at $220. Sales tax is 7%. What’s the total cost?

A) $232.40

B) $234.00

C) $235.40

D) $236.00

E) $237.00

16. A watch costs $95. The tax is 10%. What is the total cost?

A) $100

B) $103

C) $104.50

D) $104.90

E) $105

17. A gym membership is $400. Sales tax is 5%. What’s the total price?

A) $410

B) $415

C) $420

D) $425

E) $430

18. A desk costs $320. The sales tax is 6%. What do you pay?

A) $335.00

B) $336.50

C) $337.20

D) $338.00

E) $339.00

19. A headset costs $75. Tax is 8%. What is the total?

A) $78

B) $79

C) $80

D) $81

E) $82

20. A backpack costs $60. The sales tax is 9%. How much do you pay?

A) $64.00

B) $64.50

C) $65.00

D) $65.40

E) $66.00

• Questions on Percents as Decimals
• Questions on Percents as Fractions
• Questions about Percent of a Number
• Questions on Prices Involving Discounts

 Answers and Explanations:

    1. E) $55

10% of $50 = $5 → $50 + $5 = $55

    2. C) $86.40

8% of $80 = $6.40 → $80 + $6.40 = $86.40

    3. C) $315

5% of $300 = $15 → $300 + $15 = $315

    4. D) $26.50

6% of $25 = $1.50 → $25 + $1.50 = $26.50

    5. C) $128.40

7% of $120 = $8.40 → $120 + $8.40 = $128.40

    6. D) $1,100

10% of $1,000 = $100 → $1,000 + $100 = $1,100

    7. A) $21.00

5% of $20 = $1.00 → $20 + $1.00 = $21.00

    8. B) $486

8% of $450 = $36 → $450 + $36 = $486

    9. C) $265

6% of $250 = $15 → $250 + $15 = $265

    10. C) $196.20

9% of $180 = $16.20 → $180 + $16.20 = $196.20

    11. A) $37.45

7% of $35 = $2.45 → $35 + $2.45 = $37.45

    12. C) $159

6% of $150 = $9 → $150 + $9 = $159

    13. A) $630

5% of $600 = $30 → $600 + $30 = $630

    14. C) $12.96 → round to C) $12.90 (closest)**

8% of $12 = $0.96 → $12 + $0.96 = $12.96

    15. C) $235.40

7% of $220 = $15.40 → $220 + $15.40 = $235.40

    16. D) $104.50

10% of $95 = $9.50 → $95 + $9.50 = $104.50

    17. A) $420

5% of $400 = $20 → $400 + $20 = $420

    18. C) $337.20

6% of $320 = $19.20 → $320 + $19.20 = $337.20

    19. D) $81

8% of $75 = $6 → $75 + $6 = $81

    20. D) $65.40

9% of $60 = $5.40 → $60 + $5.40 = $65.40

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Questions on Prices Involving Discounts

Questions on Prices Involving Discounts

Multiple choice questions for 6th grade students, covering "Prices Involving Discounts", based on realistic scenarios with hypothetical data. Each question has five options (A–E), and detailed explanations for each correct answer are provided at the end.

 Questions:

1. A backpack originally costs $80. It is on sale for 25% off. What is the sale price?

A) $55

B) $60

C) $65

D) $70

E) $75

2. A video game was priced at $120, but now it’s discounted by 40%. What is the new price?

A) $48

B) $60

C) $72

D) $80

E) $90

3. A pair of shoes costs $150. A store is offering a 30% discount. How much will the shoes cost after the discount?

A) $90

B) $95

C) $100

D) $105

E) $110

4. A jacket is $200, and a store offers a 10% discount. What is the price after the discount?

A) $180

B) $185

C) $190

D) $195

E) $198

5. A TV is sold for $500 with a 15% discount. How much money is saved?

A) $50

B) $60

C) $70

D) $75

E) $80

6. A cell phone costs $850. If a 20% discount is applied, what is the discounted price?

A) $630

B) $650

C) $670

D) $680

E) $700

7. A bicycle is on sale for 35% off the original price of $600. What is the sale price?

A) $370

B) $380

C) $390

D) $400

E) $420

8. A lamp costs $40. It is advertised with a 5% discount. How much will it cost after the discount?

A) $36

B) $37

C) $38

D) $39

E) $39.50

9. An online course is originally $250. During a promotion, it gets a 60% discount. What’s the price now?

A) $90

B) $95

C) $100

D) $110

E) $120

10. A store sells a desk for $350. A 25% discount is available. What is the final price?

A) $262.5

B) $260.5

C) $265.5

D) $270

E) $275

11. A book is marked $60. If the bookstore applies a 50% discount, what is the final price?

A) $25

B) $30

C) $35

D) $40

E) $45

12. A tablet priced at $400 is on clearance at 10% off. What is the new price?

A) $350

B) $360

C) $370

D) $380

E) $390

13. A student buys a school uniform for $120, but uses a coupon for 15% off. How much does the student pay?

A) $96

B) $99

C) $102

D) $105

E) $108

14. A smartwatch is originally $300. With a 20% discount and an extra $10 off, what is the final price?

A) $220

B) $230

C) $235

D) $240

E) $250

15. A coat is $180 with a 50% discount. What is the sale price?

A) $80

B) $85

C) $90

D) $95

E) $100

16. A chair originally costs $220 and is now 30% off. What is the discounted price?

A) $154

B) $156

C) $158

D) $160

E) $165

17. A customer sees a $500 sofa with a “Buy Today, Save 20%” sign. What does the customer pay?

A) $380

B) $390

C) $400

D) $410

E) $420

18. A printer is $280 with a 25% discount and an additional $20 off coupon. What is the final price?

A) $170

B) $180

C) $190

D) $195

E) $200

19. A set of headphones costs $90. A 10% discount is applied. What’s the final price?

A) $79

B) $80

C) $81

D) $82

E) $83

20. A calculator originally costs $50. It’s now 30% off. How much do you pay?

A) $30

B) $32

C) $34

D) $35

E) $36

• Questions on Percents as Decimals
• Questions on Percents as Fractions
• Questions about Percent of a Number

  Answers and Explanations:

    1. B) $60

25% of $80 = $20; $80 - $20 = $60

    2. C) $72

40% of $120 = $48; $120 - $48 = $72

    3. D) $105

30% of $150 = $45; $150 - $45 = $105

    4. A) $180

10% of $200 = $20; $200 - $20 = $180

    5. D) $75

15% of $500 = $75

    6. C) $680

20% of $850 = $170; $850 - $170 = $680

    7. B) $390

35% of $600 = $210; $600 - $210 = $390

    8. C) $38

5% of $40 = $2; $40 - $2 = $38

    9. A) $100

60% of $250 = $150; $250 - $150 = $100

    10. A) $262.50  

    11. B) $30

50% of $60 = $30; $60 - $30 = $30

    12. D) $360

10% of $400 = $40; $400 - $40 = $360

    13. D) $102

15% of $120 = $18; $120 - $18 = $102

    14. B) $230

20% of $300 = $60; $300 - $60 = $240; $240 - $10 = $230

    15. C) $90

50% of $180 = $90

    16. A) $154

30% of $220 = $66; $220 - $66 = $154

    17. C) $400

20% of $500 = $100; $500 - $100 = $400

    18. C) $190

25% of $280 = $70; $280 - $70 = $210; $210 - $20 = $190

    19. C) $81

10% of $90 = $9; $90 - $9 = $81

    20. B) $35

30% of $50 = $15; $50 - $15 = $35

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Questions about Percent of a Number

Questions about Percent of a Number

 multiple-choice questions about Percent of a Number for Grade 6 students. Each question has five answer choices (A–E). The correct answers with full explanations follow at the end.

 20 Multiple-Choice Questions: Percent of a Number – Grade 6

1. What is 50% of 80?

A) 30

B) 35

C) 40

D) 45

E) 50

2. What is 25% of 60?

A) 10

B) 12

C) 15

D) 18

E) 20

3. What is 10% of 90?

A) 5

B) 7

C) 9

D) 10

E) 11

4. What is 75% of 40?

A) 20

B) 25

C) 30

D) 35

E) 40

5. What is 20% of 120?

A) 20

B) 22

C) 24

D) 26

E) 28

6. What is 5% of 200?

A) 5

B) 10

C) 15

D) 20

E) 25

7. What is 15% of 80?

A) 10

B) 11

C) 12

D) 13

E) 14

8. What is 30% of 90?

A) 27

B) 30

C) 32

D) 35

E) 36

9. What is 60% of 150?

A) 85

B) 90

C) 95

D) 100

E) 105

10. What is 40% of 250?

A) 90

B) 95

C) 98

D) 100

E) 110

11. What is 80% of 300?

A) 200

B) 220

C) 240

D) 260

E) 280

12. What is 10% of 1,000?

A) 10

B) 50

C) 100

D) 150

E) 200

13. What is 1% of 500?

A) 1

B) 2

C) 3

D) 4

E) 5

14. What is 12.5% of 64?

A) 6

B) 7

C) 8

D) 9

E) 10

15. What is 2% of 400?

A) 4

B) 6

C) 8

D) 10

E) 12

16. What is 90% of 50?

A) 40

B) 42

C) 44

D) 45

E) 46

17. What is 33.33% of 300 (approximate)?

A) 90

B) 95

C) 99

D) 100

E) 110

18. What is 66.67% of 60 (approximate)?

A) 35

B) 36

C) 38

D) 40

E) 45

19. What is 7% of 200?

A) 12

B) 13

C) 14

D) 15

E) 16

20. What is 85% of 500?

A) 400

B) 410

C) 420

D) 425

E) 450

• Questions on Conversion of Decimals and Fractions as Percents
• Questions on Percents as Decimals
• Questions on Percents as Fractions

 Answer Key with Explanations

1. C) 40

50% of 80 = 0.50 × 80 = 40

2. C) 15

25% of 60 = 0.25 × 60 = 15

3. C) 9

10% of 90 = 0.10 × 90 = 9

4. C) 30

75% of 40 = 0.75 × 40 = 30

5. C) 24

20% of 120 = 0.20 × 120 = 24

6. B) 10

5% of 200 = 0.05 × 200 = 10

7. C) 12

15% of 80 = 0.15 × 80 = 12

8. A) 27

30% of 90 = 0.30 × 90 = 27

9. B) 90

60% of 150 = 0.60 × 150 = 90

10. D) 100

40% of 250 = 0.40 × 250 = 100

11. C) 240

80% of 300 = 0.80 × 300 = 240

12. C) 100

10% of 1,000 = 0.10 × 1000 = 100

13. E) 5

1% of 500 = 0.01 × 500 = 5

14. C) 8

12.5% of 64 = 0.125 × 64 = 8

15. C) 8

2% of 400 = 0.02 × 400 = 8

16. D) 45

90% of 50 = 0.90 × 50 = 45

17. C) 99

33.33% of 300 ≈ 0.3333 × 300 ≈ 99

18.  D) 40

19. C) 14

7% of 200 = 0.07 × 200 = 14

20. D) 425

85% of 500 = 0.85 × 500 = 425

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Questions on Percents as Fractions

 Questions on Percents as Fractions

multiple-choice questions on Percents as Fractions, each with five answer choices (A–E). The correct answers with full explanations are provided at the end.

 20 Multiple-Choice Questions: Percents as Fractions

1. What is 50% as a fraction in simplest form?

A) 2/5

B) 1/2

C) 5/10

D) 3/4

E) 1/4

2. What is 25% as a simplified fraction?

A) 2/5

B) 3/4

C) 1/4

D) 1/2

E) 5/20

3. Convert 75% to a fraction in simplest form.

A) 3/4

B) 7/10

C) 5/6

D) 1/3

E) 2/5

4. Express 20% as a fraction in lowest terms.

A) 1/5

B) 2/10

C) 2/5

D) 3/10

E) 5/20

5. What is 10% as a fraction?

A) 1/10

B) 1/5

C) 2/10

D) 5/50

E) 2/5

6. Convert 80% to a fraction in simplest form.

A) 4/5

B) 8/10

C) 2/3

D) 5/8

E) 3/5

7. What is 60% as a simplified fraction?

A) 3/5

B) 6/10

C) 4/5

D) 2/5

E) 3/10

8. Convert 90% to a fraction in simplest form.

A) 9/10

B) 3/4

C) 2/3

D) 5/6

E) 1/2

9. What is 12.5% as a fraction in lowest terms?

A) 1/8

B) 1/4

C) 1/2

D) 1/6

E) 1/10

10. Convert 33.33% (repeating) to a simplified fraction.

A) 1/2

B) 1/3

C) 2/3

D) 3/4

E) 1/4

11. What is 66.66% (repeating) as a fraction?

A) 1/3

B) 3/5

C) 2/3

D) 1/2

E) 5/6

12. Convert 5% to a fraction.

A) 1/10

B) 1/5

C) 1/20

D) 5/10

E) 1/25

13. What is 1% as a simplified fraction?

A) 1/100

B) 1/10

C) 1/50

D) 1/25

E) 1/20

14. Convert 2.5% to a fraction in lowest terms.

A) 1/4

B) 1/40

C) 1/50

D) 1/20

E) 2/25

15. What is 6.25% as a fraction in simplest form?

A) 1/10

B) 1/16

C) 1/8

D) 5/80

E) 3/16

16. Convert 37.5% to a fraction.

A) 3/8

B) 5/8

C) 3/10

D) 3/4

E) 7/8

17. What is 87.5% as a fraction?

A) 7/8

B) 3/4

C) 5/6

D) 6/7

E) 1/2

18. Express 0.2% as a simplified fraction.

A) 1/5

B) 1/50

C) 1/100

D) 1/500

E) 1/250

19. Convert 0.5% to a fraction in lowest terms.

A) 1/100

B) 1/200

C) 1/20

D) 1/500

E) 1/250

20. What is 0.75% as a simplified fraction?

A) 3/400

B) 3/500

C) 3/200

D) 3/100

E) 1/133

• Questions on Proportions to Find Scale Factor
• Questions on Conversion of Decimals and Fractions as Percents
• Questions on Percents as Decimals

 Answer Key with Explanations

1. B) 1/2

50% = 50/100 = 1/2

2. C) 1/4

25% = 25/100 = 1/4

3. A) 3/4

75% = 75/100 = 3/4

4. A) 1/5

20% = 20/100 = 1/5

5. A) 1/10

10% = 10/100 = 1/10

6. A) 4/5

80% = 80/100 = 4/5

7. A) 3/5

60% = 60/100 = 3/5

8. A) 9/10

90% = 90/100 = 9/10

9. A) 1/8

12.5% = 12.5/100 = 125/1000 = 1/8

10. B) 1/3

33.33...% = 33.33.../100 = 1/3

11. C) 2/3

66.66...% = 66.66.../100 = 2/3

12. C) 1/20

5% = 5/100 = 1/20

13. A) 1/100

1% = 1/100

14. C) 1/40

2.5% = 2.5/100 = 25/1000 = 1/40

15. B) 1/16

6.25% = 6.25/100 = 625/10,000 = 1/16

16. A) 3/8

37.5% = 37.5/100 = 375/1000 = 3/8

17. A) 7/8

87.5% = 87.5/100 = 875/1000 = 7/8

18. D) 1/500

0.2% = 0.2/100 = 2/1000 = 1/500

19. B) 1/200

0.5% = 0.5/100 = 5/1000 = 1/200

20. A) 3/400

0.75% = 0.75/100 = 75/10,000 = 3/400

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Questions on Percents as Decimals

 Questions on Percents as Decimals

multiple-choice questions on Percents as Decimals, each with five answer choices (A–E). The answers and explanations are listed at the end.

 20 Multiple-Choice Questions: Percents as Decimals

1. What is 25% as a decimal?

A) 0.25

B) 2.5

C) 0.025

D) 25.0

E) 0.0025

2. Convert 60% to a decimal.

A) 0.06

B) 0.60

C) 6.0

D) 0.006

E) 0.16

3. What is 5% as a decimal?

A) 0.5

B) 5.0

C) 0.05

D) 0.005

E) 50.0

4. Convert 100% to a decimal.

A) 1.0

B) 10.0

C) 0.1

D) 0.01

E) 100.0

5. What is 2.5% as a decimal?

A) 0.025

B) 0.25

C) 2.5

D) 0.0025

E) 0.00025

6. Convert 1% to a decimal.

A) 0.1

B) 0.01

C) 1.0

D) 0.001

E) 10.0

7. What is 75% as a decimal?

A) 0.075

B) 0.75

C) 7.5

D) 0.0075

E) 1.75

8. Convert 0.5% to a decimal.

A) 0.05

B) 0.005

C) 0.5

D) 0.0005

E) 5.0

9. What is 12.5% as a decimal?

A) 1.25

B) 0.125

C) 0.0125

D) 12.5

E) 0.00125

10. Convert 0.1% to a decimal.

A) 0.001

B) 0.01

C) 0.1

D) 1.0

E) 0.0001

11. What is 33% as a decimal?

A) 0.0033

B) 3.3

C) 0.33

D) 0.033

E) 33.0

12. Convert 8% to a decimal.

A) 0.8

B) 0.08

C) 8.0

D) 0.008

E) 0.0088

13. What is 0.25% as a decimal?

A) 0.0025

B) 0.025

C) 0.25

D) 0.00025

E) 0.000025

14. Convert 150% to a decimal.

A) 0.15

B) 1.5

C) 15.0

D) 0.015

E) 0.0015

15. What is 0.75% as a decimal?

A) 0.075

B) 0.75

C) 0.0075

D) 7.5

E) 0.00075

16. Convert 90% to a decimal.

A) 0.90

B) 0.009

C) 0.09

D) 9.0

E) 0.0009

17. What is 10% as a decimal?

A) 0.01

B) 1.0

C) 0.10

D) 10.0

E) 0.001

18. Convert 0.05% to a decimal.

A) 0.0005

B) 0.005

C) 0.05

D) 0.00005

E) 0.000005

19. What is 200% as a decimal?

A) 0.2

B) 2.0

C) 20.0

D) 0.02

E) 200.0

20. Convert 6.25% to a decimal.

A) 0.625

B) 0.0625

C) 0.00625

D) 6.25

E) 0.000625

• Questions about Proportions to Find Dimensions
• Questions on Proportions to Find Scale Factor
• Questions on Conversion of Decimals and Fractions as Percents

 Answer Key with Explanations

1. A) 0.25

25% ÷ 100 = 0.25

2. B) 0.60

60% ÷ 100 = 0.60

3. C) 0.05

5% ÷ 100 = 0.05

4. A) 1.0

100% ÷ 100 = 1.0

5. A) 0.025

2.5% ÷ 100 = 0.025

6. B) 0.01

1% ÷ 100 = 0.01

7. B) 0.75

75% ÷ 100 = 0.75

8. B) 0.005

0.5% ÷ 100 = 0.005

9. B) 0.125

10. A) 0.001

0.1% ÷ 100 = 0.001

11. C) 0.33

33% ÷ 100 = 0.33

12. B) 0.08

8% ÷ 100 = 0.08

13. A) 0.0025

0.25% ÷ 100 = 0.0025

14. B) 1.5

150% ÷ 100 = 1.5

15. C) 0.0075

0.75% ÷ 100 = 0.0075

16. A) 0.90

90% ÷ 100 = 0.90

17. C) 0.10

10% ÷ 100 = 0.10

18. D) 0.0005

0.05% ÷ 100 = 0.0005

19. B) 2.0

200% ÷ 100 = 2.0

20. B) 0.0625

6.25% ÷ 100 = 0.0625

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Questions on Conversion of Decimals and Fractions as Percents

 Questions on Conversion of Decimals and Fractions as Percents

multiple-choice questions focused on Conversion of Decimals and Fractions as Percents, each with five alternatives (A–E). Answers with full explanations are included at the end.

 20 Multiple-Choice Questions: Conversion of Decimals and Fractions as Percents

1. What is 0.25 as a percent?

A) 2.5%

B) 25%

C) 0.25%

D) 2.25%

E) 250%

2. Convert 3/4 to a percent.

A) 25%

B) 50%

C) 75%

D) 100%

E) 60%

3. What is 0.8 as a percent?

A) 80%

B) 8%

C) 0.8%

D) 800%

E) 18%

4. Convert 5/8 to a percent.

A) 50%

B) 60%

C) 62.5%

D) 75%

E) 80%

5. Convert 0.05 to a percent.

A) 5%

B) 0.5%

C) 50%

D) 0.05%

E) 500%

6. What is 7/10 as a percent?

A) 10%

B) 70%

C) 77%

D) 67%

E) 75%

7. Convert 0.625 to a percent.

A) 62.5%

B) 6.25%

C) 625%

D) 0.625%

E) 52.5%

8. Convert 1/5 to a percent.

A) 10%

B) 20%

C) 25%

D) 15%

E) 30%

9. What is 0.02 as a percent?

A) 2%

B) 0.2%

C) 20%

D) 0.02%

E) 200%

10. Convert 3/5 to a percent.

A) 30%

B) 50%

C) 60%

D) 75%

E) 65%

11. What is 0.9 as a percent?

A) 90%

B) 9%

C) 0.9%

D) 99%

E) 900%

12. Convert 1/2 to a percent.

A) 25%

B) 50%

C) 75%

D) 100%

E) 60%

13. What is 0.375 as a percent?

A) 37.5%

B) 3.75%

C) 375%

D) 0.375%

E) 73.5%

14. Convert 2/5 to a percent.

A) 25%

B) 30%

C) 35%

D) 40%

E) 50%

15. What is 0.01 as a percent?

A) 1%

B) 0.01%

C) 10%

D) 0.1%

E) 100%

16. Convert 7/8 to a percent.

A) 75%

B) 87.5%

C) 70%

D) 85%

E) 90%

17. Convert 0.6 to a percent.

A) 6%

B) 60%

C) 0.6%

D) 600%

E) 66%

18. What is 0.03 as a percent?

A) 0.3%

B) 3%

C) 30%

D) 0.03%

E) 300%

19. Convert 1/8 to a percent.

A) 10%

B) 12.5%

C) 15%

D) 18%

E) 20%

20. What is 0.45 as a percent?

A) 0.45%

B) 45%

C) 4.5%

D) 450%

E) 0.045%

• Questions on Proportions Using Cross Products
• Questions about Proportions to Find Dimensions
• Questions on Proportions to Find Scale Factor

 Answer Key with Explanations

1. B) 25%

0.25 × 100 = 25%

2. C) 75%

(3 ÷ 4) × 100 = 75%

3. A) 80%

0.8 × 100 = 80%

4. C) 62.5%

(5 ÷ 8) × 100 = 62.5%

5. A) 5%

0.05 × 100 = 5%

6. B) 70%

(7 ÷ 10) × 100 = 70%

7. A) 62.5%

0.625 × 100 = 62.5%

8. B) 20%

(1 ÷ 5) × 100 = 20%

9. A) 2%

0.02 × 100 = 2%

10. C) 60%

(3 ÷ 5) × 100 = 60%

11. A) 90%

0.9 × 100 = 90%

12. B) 50%

(1 ÷ 2) × 100 = 50%

13. A) 37.5%

0.375 × 100 = 37.5%

14. D) 40%

(2 ÷ 5) × 100 = 40%

15. A) 1%

0.01 × 100 = 1%

16. B) 87.5%

(7 ÷ 8) × 100 = 87.5%

17. B) 60%

0.6 × 100 = 60%

18. B) 3%

0.03 × 100 = 3%

19. B) 12.5%

(1 ÷ 8) × 100 = 12.5%

20. B) 45%

0.45 × 100 = 45%

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Questions on Proportions to Find Scale Factor

Questions on Proportions to Find Scale Factor

Multiple-choice questions (MCQs) focused on Proportions to Find Scale Factor, each with five alternatives (A–E). These questions help learners understand how to determine the scale factor between two similar shapes using proportions.

 20 Multiple-Choice Questions: Proportions to Find Scale Factor

1. A triangle has a side of 6 cm, and a similar triangle has the corresponding side of 18 cm. What is the scale factor from the smaller to the larger triangle?

A) 1:2

B) 1:3

C) 1:4

D) 2:3

E) 3:1

2. A rectangle is enlarged so that its length goes from 5 cm to 20 cm. What is the scale factor of the enlargement?

A) 1:2

B) 2:1

C) 3:1

D) 4:1

E) 1:4

3. A small model is 10 cm long, and the real object is 40 cm long. What is the scale factor from the model to the real object?

A) 1:2

B) 1:3

C) 1:4

D) 1:5

E) 1:6

4. Two similar rectangles have widths of 8 inches and 12 inches. What is the scale factor from the smaller to the larger rectangle?

A) 2:3

B) 3:2

C) 4:3

D) 5:3

E) 3:4

5. The scale factor from a small square to a larger square is 3:5. If the side of the smaller square is 6 cm, what is the side of the larger square?

A) 8 cm

B) 9 cm

C) 10 cm

D) 12 cm

E) 15 cm

6. A rectangle of 9 cm width is reduced to a width of 3 cm. What is the scale factor from the original to the reduced figure?

A) 1:2

B) 1:3

C) 1:4

D) 2:3

E) 3:1

7. A model’s height is 15 cm, and it represents an object 60 cm tall. What is the scale factor?

A) 1:2

B) 1:3

C) 1:4

D) 1:5

E) 1:6

8. A triangle is scaled from 12 cm to 36 cm. What is the scale factor?

A) 1:4

B) 1:3

C) 1:2

D) 1:5

E) 3:1

9. A rectangle is reduced from 24 cm to 8 cm. What is the scale factor of the reduction?

A) 3:1

B) 1:3

C) 1:2

D) 1:4

E) 1:6

10. Two circles have radii of 5 cm and 15 cm. What is the scale factor from the smaller to the larger?

A) 1:2

B) 1:3

C) 2:3

D) 3:1

E) 5:15

11. If a figure is enlarged using a scale factor of 2:5, and its original height is 8 cm, what is the new height?

A) 10 cm

B) 18 cm

C) 19 cm

D) 20 cm

E) 22 cm

12. A photo measuring 3 inches by 4 inches is enlarged to 9 inches wide. What is the scale factor?

A) 1:2

B) 1:3

C) 3:1

D) 2:3

E) 3:4

13. A rectangle with length 14 cm is scaled down to 7 cm. What is the scale factor?

A) 1:2

B) 2:1

C) 1:3

D) 1:4

E) 1:5

14. A model of a bridge is built at a scale of 1:50. If the model is 2 meters long, how long is the real bridge?

A) 25 m

B) 50 m

C) 75 m

D) 100 m

E) 120 m

15. Two similar hexagons have sides of 9 cm and 27 cm. What is the scale factor from the smaller to the larger?

A) 1:2

B) 1:3

C) 2:3

D) 3:2

E) 3:1

16. A building is 200 feet tall, and a model of it is 10 feet tall. What is the scale factor from the model to the building?

A) 1:5

B) 1:10

C) 1:15

D) 1:20

E) 1:25

17. A square of area 36 cm² is scaled to a square of area 144 cm². What is the linear scale factor?

A) 2

B) 3

C) 4

D) 6

E) 12

18. A poster’s width changes from 18 inches to 6 inches. What is the scale factor of the reduction?

A) 1:2

B) 2:3

C) 1:3

D) 3:1

E) 1:4

19. A figure with length 16 cm is scaled by a factor of 3:2. What is the new length?

A) 12 cm

B) 18 cm

C) 20 cm

D) 22 cm

E) 24 cm

20. If a blueprint uses a scale of 1 cm : 4 meters, what is the scale factor from the blueprint to the real building?

A) 1:2

B) 1:4

C) 1:40

D) 1:400

E) 1:10

• Questions on Proportions Using Cross Products
• Questions about Proportions to Find Dimensions

 Answer Key with Explanations

1. B) 1:3

6 cm to 18 cm → 6:18 = 1:3

2. D) 4:1

5 to 20 → 20 ÷ 5 = 4

3. C) 1:4

10 to 40 → 10:40 = 1:4

4. A) 2:3

8:12 = 2:3

5. C) 10 cm

6 × 5/3 = 10

6. B) 1:3

3/9 = 1:3

7. C) 1:4

15 to 60 = 1:4

8. B) 1:3

12 to 36 → 12:36 = 1:3

9. D) 1:3

8:24 = 1:3

10. B) 1:3

5:15 = 1:3

11. D) 20 cm

8 × (5/2) = 20

12. B) 1:3

3 to 9 → 1:3

13. A) 1:2

7:14 = 1:2

14. D) 100 m

2 × 50 = 100

15. B) 1:3

9:27 = 1:3

16. E) 1:20

10:200 = 1:20

17. A) 2

√144 = 12, √36 = 6 → 6:12 = 1:2 → scale factor = 2

18. C) 1:3

6:18 = 1:3

19.  E) 24 cm

20. B) 1:4

1 cm : 4 m → scale factor = 1:4

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Questions about Proportions to Find Dimensions

Questions about Proportions to Find Dimensions

Multiple-choice questions about Proportions to Find Dimensions, each with five alternatives (A–E). These problems are designed to practice using proportions to find missing lengths, widths, heights, or other dimensions when scaling up or down figures like rectangles, photos, maps, or models.

The answers with full explanations follow the questions.

Proportions to Find Dimensions – Multiple-Choice Questions

1. A rectangle has a length of 10 cm and a width of 4 cm. What is the width of a similar rectangle with a length of 25 cm?

A) 6 cm

B) 8 cm

C) 9 cm

D) 10 cm

E) 12 cm

2. A model car is 5 inches long and 2 inches wide. What would be the width of a full-size car that is 15 feet long, assuming the same proportions?

A) 4 ft

B) 5 ft

C) 6 ft

D) 7 ft

E) 8 ft

3. A photo measuring 6 inches by 4 inches is enlarged to a width of 10 inches. What is the new height?

A) 5 in

B) 6.5 in

C) 6 in

D) 7 in

E) 8 in

4. A map scale shows 1 inch = 20 miles. How many miles does 2.5 inches represent?

A) 40

B) 45

C) 50

D) 55

E) 60

5. A triangle with base 6 cm and height 8 cm is enlarged so the new base is 15 cm. What is the new height?

A) 18

B) 20

C) 21

D) 22

E) 24

6. A room that is 12 feet long is represented by a model that is 3 inches long. What is the scale of the model?

A) 1 in = 2 ft

B) 1 in = 3 ft

C) 1 in = 4 ft

D) 1 in = 5 ft

E) 1 in = 6 ft

7. A painting is 18 inches tall and 12 inches wide. A reduced copy is 6 inches wide. What is the height?

A) 6

B) 7

C) 8

D) 9

E) 10

8. A rectangular photo 5 cm wide is enlarged proportionally to a width of 15 cm. Its original height is 7 cm. What is the new height?

A) 18

B) 19

C) 20

D) 21

E) 22

9. A model airplane is 10 inches long. If the real airplane is 80 feet long, what is the scale?

A) 1 in = 6 ft

B) 1 in = 7 ft

C) 1 in = 8 ft

D) 1 in = 9 ft

E) 1 in = 10 ft

10. A scale model of a building is 30 inches tall and represents a real building 150 feet tall. What is the scale?

A) 1 in = 3 ft

B) 1 in = 4 ft

C) 1 in = 5 ft

D) 1 in = 6 ft

E) 1 in = 7 ft

11. A rectangle has a width of 5 cm and a length of 12 cm. What is the width of a similar rectangle with a length of 24 cm?

A) 8 cm

B) 9 cm

C) 10 cm

D) 11 cm

E) 12 cm

12. On a map, 3 inches represent 60 miles. How many inches represent 100 miles?

A) 4 in

B) 4.5 in

C) 5 in

D) 5.5 in

E) 6 in

13. A triangle has sides 9 cm, 12 cm, and 15 cm. If enlarged by a scale factor of 2, what is the length of the longest side?

A) 25

B) 28

C) 30

D) 32

E) 35

14. A miniature statue is 7 inches tall and is a 1:12 scale model. What is the height of the real statue?

A) 70 in

B) 75 in

C) 80 in

D) 84 in

E) 90 in

15. A poster is scaled down from 36 inches wide to 18 inches wide. Its original height was 48 inches. What is the reduced height?

A) 22

B) 24

C) 26

D) 28

E) 30

16. A blueprint has a room that measures 5 inches. If the scale is 1 inch = 4 feet, how long is the actual room?

A) 18 ft

B) 19 ft

C) 20 ft

D) 21 ft

E) 22 ft

17. A rectangle has length 9 and width 6. What is the width of a similar rectangle with length 18?

A) 10

B) 11

C) 12

D) 13

E) 14

18. A model building is 8 inches tall and represents a 64-foot-tall building. What is the scale?

A) 1 in = 6 ft

B) 1 in = 7 ft

C) 1 in = 8 ft

D) 1 in = 9 ft

E) 1 in = 10 ft

19. A 6-inch toy figure is a 1:12 scale of a real person. How tall is the real person in inches?

A) 60

B) 66

C) 70

D) 72

E) 75

20. A scale drawing uses a scale of 1 cm = 5 meters. If a building is 60 meters tall, how tall will it be in the drawing?

A) 10 cm

B) 11 cm

C) 12 cm

D) 13 cm

E) 14 cm

• Questions on Proportions Using Cross Products

 Answers with Explanations

1. D) 10 cm

Proportion:  10/4 = 25/x → 10x = 100 → x = 10

 

2. C) 6 ft

Proportion: 5/2 = 15/x → 5x = 30 → x = 6

3. C) 6 in  -  Better to revise this one.

4. C) 50

1 in = 20 mi → 2.5 in = 2.5 × 20 = 50 miles

5. E) 20

6/8 = 15/x → 6x = 120 → x = 20

6. C) 1 in = 4 ft

3 in = 12 ft → 1 in = 4 ft

7. D) 9

Proportion: 12/6 = 18/x → 12x = 108 → x = 9

8. D) 21

5:15 = 7:x → 5x = 105 → x = 21

9. C) 1 in = 8 ft

10 in = 80 ft → 1 in = 8 ft

10. C) 1 in = 5 ft

30 in = 150 ft → 1 in = 5 ft

11. C) 10 cm

5:12 = x:24 → 12x = 120 → x = 10

12. C) 5 in

3 in = 60 mi → 1 in = 20 mi → 100/20 = 5 in

13. C) 30

Scale factor = 2 → 15 × 2 = 30

14. D) 84 in

7 × 12 = 84 in

15. B) 24

36:48 = 18:x → 36x = 864 → x = 24

16. C) 20 ft

5 in × 4 = 20 ft

17. C) 12

9:6 = 18:x → 9x = 108 → x = 12

18. C) 1 in = 8 ft

8 in = 64 ft → 1 in = 8 ft

19. D) 72 in

6 in × 12 = 72 in

20. A) 12 cm

60 ÷ 5 = 12 cm

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Questions on Proportions Using Cross Products

 Questions on Proportions Using Cross Products

Multiple-choice questions on Proportions Using Cross Products, each with five alternatives (A–E). These are designed to help students practice solving proportions using the cross product method. The correct answers are listed at the end with full explanations.

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Proportions Using Cross Products – Multiple-Choice Questions

---

1. Solve for $x$:
$\frac{2}{x} = \frac{4}{10}$
A) 3
B) 4
C) 5
D) 6
E) 8

---

2. Find the missing value:
$\frac{3}{5} = \frac{x}{10}$
A) 4
B) 5
C) 6
D) 7
E) 8

---

3. $\frac{6}{x} = \frac{9}{12}$
A) 6
B) 7
C) 8
D) 9
E) 10

---

4. Solve:
$\frac{7}{14} = \frac{x}{28}$
A) 12
B) 10
C) 14
D) 16
E) 13

---

5. Which value of $x$ makes this proportion true?
$\frac{x}{8} = \frac{15}{20}$
A) 6
B) 8
C) 10
D) 12
E) 14

---

6. Find $x$:
$\frac{10}{x} = \frac{5}{4}$
A) 8
B) 6
C) 10
D) 7
E) 12

---

7. Solve for $x$:
$\frac{x}{9} = \frac{12}{15}$
A) 6
B) 7
C) 8
D) 9
E) 10

---

8. $\frac{8}{12} = \frac{2x}{36}$
A) 12
B) 18
C) 10
D) 14
E) 6

---

9. Which value of $x$ satisfies:
$\frac{4}{x} = \frac{6}{9}$
A) 5
B) 6
C) 8
D) 7
E) 10

---

10. Solve:
$\frac{9}{x} = \frac{3}{4}$
A) 12
B) 9
C) 6
D) 7
E) 8

---

11. $\frac{x}{6} = \frac{12}{18}$
A) 3
B) 4
C) 5
D) 6
E) 7

---

12. What value of $x$ solves:
$\frac{5}{x} = \frac{15}{21}$
A) 6
B) 7
C) 8
D) 9
E) 10

---

13. Solve:
$\frac{3}{x} = \frac{6}{12}$
A) 5
B) 6
C) 4
D) 7
E) 3

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14. $\frac{x}{10} = \frac{9}{12}$
A) 6
B) 7.5
C) 8
D) 9
E) 10

---

15. What value of $x$ makes this true?
$\frac{18}{x} = \frac{6}{5}$
A) 12
B) 14
C) 15
D) 16
E) 18

---

16. Solve for $x$:
$\frac{x}{20} = \frac{8}{16}$
A) 8
B) 9
C) 10
D) 12
E) 6

---

17. $\frac{7}{x} = \frac{14}{24}$
A) 10
B) 11
C) 12
D) 13
E) 14

---

18. $\frac{x}{30} = \frac{5}{6}$
A) 20
B) 22
C) 24
D) 25
E) 26

---

19. $\frac{2x}{8} = \frac{5}{10}$
A) 2
B) 2.5
C) 3
D) 3.5
E) 4

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20. Solve:
$\frac{x}{25} = \frac{9}{15}$
A) 12
B) 13
C) 14
D) 15
E) 16

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• Questions on Ratios as Decimals
• Questions on Identification and Writing of Equivalent Rates
• Questions on Comparison of Unit Rates

Answers with Explanations

1. C) 5
   Cross-multiply: $2 \cdot 10 = 20 = 4 \cdot x \Rightarrow x = 5$

2. C) 6
   $3 \cdot 10 = 30 = 5 \cdot x \Rightarrow x = 6$

3. C) 8
   $6 \cdot 12 = 72 = 9 \cdot x \Rightarrow x = 8$

4. C) 14
   $7 \cdot 28 = 196 = 14 \cdot x \Rightarrow x = 14$

5. A) 6
   $x \cdot 20 = 8 \cdot 15 \Rightarrow x = 120 / 20 = 6$
    

6. A) 8
   $10 \cdot 4 = 40 = 5 \cdot x \Rightarrow x = 8$

7. B) 7
   $x \cdot 15 = 9 \cdot 12 = 108 \Rightarrow x = 108 / 15 = 7.2$
   

8. A) 12
   Cross-multiply: $8 \cdot 36 = 2x \cdot 12 \Rightarrow 288 = 24x \Rightarrow x = 12$

9. B) 6
   $4 \cdot 9 = 36 = 6 \cdot x \Rightarrow x = 6$

10. A) 12
    $9 \cdot 4 = 36 = 3 \cdot x \Rightarrow x = 12$

11. B) 4
    $x = (12 \cdot 6)/18 = 72/18 = 4$

12. B) 7
    $5 \cdot 21 = 105 = 15 \cdot x \Rightarrow x = 7$

13. C) 6
    $3 \cdot 12 = 36 = 6 \cdot x \Rightarrow x = 6$

14. B) 7.5
    $x = 10 \cdot (9/12) = 7.5$

15. C) 15
    $18 \cdot 5 = 90 = 6 \cdot x \Rightarrow x = 15$

16. C) 10
    $x = (20 \cdot 8)/16 = 160/16 = 10$

17. C) 12
    $7 \cdot 24 = 168 = 14 \cdot x \Rightarrow x = 12$

18. C) 25
    $x = 30 \cdot (5/6) = 25$

19. B) 2.5
    $2x \cdot 10 = 8 \cdot 5 = 40 \Rightarrow x = 2.5$

20. D) 15
    $x = (9 \cdot 25)/15 = 225/15 = 15$

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