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Mathematics · Self Assessment

Practice Test: Ratio & Percentages

A 100-mark paper covering "Ratio & Proportion: Complete Guide with All Question Types" and "Percentages: Averages, Profit & Loss, Discounts & Interest" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.A ratio compares:Basic2 pts

A. Two or more quantities of the same kind

B. Only colors

C. Only shapes

D. Nothing measurable

2.The ratio 2:4 can be simplified to:Basic2 pts

A. 1:2

B. 2:4 cannot be simplified

C. 4:2

D. 1:4

3.A proportion states that:Basic2 pts

A. Two ratios are equal

B. Two ratios are always different

C. A ratio equals zero

D. A ratio has only one term

4.If a:b = c:d, this is an example of a:Basic2 pts

A. Proportion

B. Percentage

C. Discount

D. Exponent

5.A percentage represents a value:Basic2 pts

A. Out of 100

B. Out of 10

C. Out of 1000

D. Out of 1

6.50% is equivalent to which fraction?Basic2 pts

A. 1/2

B. 1/4

C. 1/5

D. 3/4

7.To find the average of a set of numbers, you:Basic2 pts

A. Add them all and divide by how many numbers there are

B. Multiply them all together

C. Subtract the smallest from the largest

D. Divide the largest by the smallest

8.Profit occurs when:Basic2 pts

A. The selling price is higher than the cost price

B. The selling price equals the cost price

C. The selling price is lower than the cost price

D. There is no cost price

9.Loss occurs when:Basic2 pts

A. The selling price is higher than the cost price

B. The selling price is lower than the cost price

C. There is no selling price

D. The cost price is zero

10.A discount is:Basic2 pts

A. An increase added to the original price

B. A reduction from the original price

C. Always equal to the original price

D. Unrelated to price

11.Simple interest is calculated based on:Basic2 pts

A. The original principal amount only

B. A random guess

C. The buyer's age

D. The color of the currency

12.Which formula represents percentage calculation?Basic2 pts

A. (Part / Whole) × 100

B. Part + Whole

C. Whole − Part

D. Part ÷ 100 × Whole

13.If a ratio is written as 3:5, the total number of equal parts is:Basic2 pts

A. 3

B. 5

C. 8

D. 15

14.An increase in price expressed as a percentage of the original price is called a:Basic2 pts

A. Percentage increase

B. Percentage decrease

C. Ratio decrease

D. Proportion loss

15.Ratio and proportion problems are commonly used to solve real-world situations like:Basic2 pts

A. Scaling recipes or mixing ingredients in the correct amounts

B. Painting a picture

C. Naming a book

D. Writing a song

Section B — True / False

20 marks

10 questions · 2 marks each.

16.A ratio compares two or more quantities of the same kind.Intermediate2 pts

True

False

17.A proportion states that two ratios are equal.Intermediate2 pts

True

False

18.The ratio 2:4 is already in its simplest form.Intermediate2 pts

True

False

19.A percentage represents a value out of 100.Intermediate2 pts

True

False

20.50% is equivalent to the fraction 1/2.Intermediate2 pts

True

False

21.Profit occurs when the selling price is lower than the cost price.Intermediate2 pts

True

False

22.A discount is a reduction from the original price.Intermediate2 pts

True

False

23.To find an average, you add all the numbers and divide by how many there are.Intermediate2 pts

True

False

24.Simple interest is calculated based on the original principal amount.Intermediate2 pts

True

False

25.Ratio and proportion have no real-world applications, like scaling recipes.Intermediate2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.A comparison between two or more quantities of the same kind is called a ______.Intermediate2 pts

27.When two ratios are equal, this is called a ______.Intermediate2 pts

28.A value expressed out of 100 is called a ______.Intermediate2 pts

29.Adding a set of numbers and dividing by how many there are gives you the ______.Intermediate2 pts

30.When the selling price is higher than the cost price, the result is a ______.Intermediate2 pts

31.When the selling price is lower than the cost price, the result is a ______.Advanced2 pts

32.A reduction from the original price of an item is called a ______.Advanced2 pts

33.Money earned or paid based on a principal amount over time is called ______.Advanced2 pts

34.The formula for percentage is (Part / Whole) × ______.Advanced2 pts

35.Ratio and proportion are commonly used to scale ______, like adjusting ingredient amounts.Advanced2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each term to its correct definition.Advanced10 pts

Column A

Ratio

Proportion

Percentage

Profit

Discount

Column B

A value expressed out of 100

The result when selling price is higher than cost price

A reduction from the original price

A comparison of two or more quantities of the same kind

A statement that two ratios are equal

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.Explain the difference between a ratio and a proportion.Advanced4 pts

42.How do you calculate the average of a set of numbers?Advanced4 pts

43.Explain the difference between profit and loss.Advanced4 pts

44.How is a discount calculated on an item's price?Advanced4 pts

45.Give a real-life example where ratio and proportion would be useful.Advanced4 pts

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